Elementary Algebra
Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Chapter 10, Problem 243RE

In the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared.

243. a 2 − 3 a

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Chapter 10 Solutions

Elementary Algebra

Ch. 10.1 - Solve: x2=81 .Ch. 10.1 - Solve: y2=121 .Ch. 10.1 - Solve: x250=0 .Ch. 10.1 - Solve: y227=0 .Ch. 10.1 - Solve: 2x2=98 .Ch. 10.1 - Solve: 3z2=108 .Ch. 10.1 - Solve: c2+12=0 .Ch. 10.1 - Solve: d2+81=0 .Ch. 10.1 - Solve: 12x2+4=24 .Ch. 10.1 - Solve: 34y23=18 .
Ch. 10.1 - Solve: 5r22=34 .Ch. 10.1 - Solve: 3t2+6=70 .Ch. 10.1 - Solve: (q+5)2=1 .Ch. 10.1 - Solve: (r3)2=25 .Ch. 10.1 - Solve: (a3)2=18 .Ch. 10.1 - Solve: (b+2)2=40 .Ch. 10.1 - Solve: (x13)2=59 .Ch. 10.1 - Solve: (y34)2=716 .Ch. 10.1 - Solve: (a5)2+4=24 .Ch. 10.1 - Solve: (b3)28=24 .Ch. 10.1 - Solve: (3r+4)2=8 .Ch. 10.1 - Solve: (3r+4)2=8 .Ch. 10.1 - Solve: x26x+9=12 .Ch. 10.1 - Solve: y2+12y+36=32 .Ch. 10.1 - Solve: 9m212m+4=25 .Ch. 10.1 - Solve: 16n2+40n+25=4 .Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - Paola has enough mulch to cover 48 square feet....Ch. 10.1 - Kathy is drawing up the blueprints for a house she...Ch. 10.1 - Explain why the equation x2+12=8 has no solution.Ch. 10.1 - Explain why the equation y2+8=12 has two...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Solve c2+4c=5 by completing the square.Ch. 10.2 - Solve d2+10d=9 by completing the square.Ch. 10.2 - Solve r24r=12 by completing the square.Ch. 10.2 - Solve t210t=11 by completing the square.Ch. 10.2 - Solve y210y=35 by completing the square.Ch. 10.2 - Solve z2+8z=19 by completing the square.Ch. 10.2 - Solve x216x=16 by completing the square.Ch. 10.2 - Solve y2+8y=11 by completing the square.Ch. 10.2 - Solve a2+4a+9=30 by completing the square.Ch. 10.2 - Solve b2+8b4=16 by completing the square.Ch. 10.2 - Solve p2=5p+9 by completing the square.Ch. 10.2 - Solve q2=7q3 by completing the square.Ch. 10.2 - Solve (c2)(c+8)=7 by completing the square.Ch. 10.2 - Solve (d7)(d+3)=56 by completing the square.Ch. 10.2 - Solve 2m2+16m8=0 by completing the square.Ch. 10.2 - Solve 4n224n56=8 by completing the square.Ch. 10.2 - Solve 3r22r=21 by completing the square.Ch. 10.2 - Solve 4t2+2t=20 by completing the square.Ch. 10.2 - Solve 4x2+3x=12 by completing the square.Ch. 10.2 - Solve 5y2+3y=10 by completing the square.Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - In the following exercises, solve by completing...Ch. 10.2 - Rafi is designing a rectangular playground to have...Ch. 10.2 - Yvette wants to put a square swimming pool in the...Ch. 10.2 - Solve the equation x2+10x=25 (a) by using the...Ch. 10.2 - Solve the equation y2+8y=48 by completing the...Ch. 10.3 - Solve 3y25y+2=0 by using the Quadratic Formula.Ch. 10.3 - Solve 4z2+2z6=0 by using the Quadratic Formula.Ch. 10.3 - Solve a22a15=0 by using the Quadratic Formula.Ch. 10.3 - Solve b2+10b+24=0 by using the Quadratic Formula.Ch. 10.3 - Solve 2p2+8p+5=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5q211q+3=0 by using the Quadratic Formula.Ch. 10.3 - Solve 3m2+12m+7=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5n2+4n4=0 by using the Quadratic Formula.Ch. 10.3 - Solve 4a23a+8=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5b2+2b+4=0 by using the Quadratic Formula.Ch. 10.3 - Solve x(x+2)5=0 by using the Quadratic Formula.Ch. 10.3 - Solve y(3y1)2=0 by using the Quadratic Formula.Ch. 10.3 - Solve 14c213c=112 by using the Quadratic Formula.Ch. 10.3 - Solve 19d212d=12 by using the Quadratic Formula.Ch. 10.3 - Solve r2+10r+25=0 by using the Quadratic Formula.Ch. 10.3 - Solve 25t240t=16 by using the Quadratic Formula.Ch. 10.3 - Determine the number of solutions to each...Ch. 10.3 - Determine the number of solutions to each...Ch. 10.3 - Identify the most appropriate method to use to...Ch. 10.3 - Identify the most appropriate method to use to...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, determine the number...Ch. 10.3 - In the following exercises, determine the number...Ch. 10.3 - In the following exercises, determine the number...Ch. 10.3 - In the following exercises, determine the number...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - In the following exercises, identify the most...Ch. 10.3 - A flare is fired straight up from a ship at sea....Ch. 10.3 - An architect is designing a hotel lobby. She wants...Ch. 10.3 - Solve the equation x2+10x=200 (a) by completing...Ch. 10.3 - Solve the equation 12y2+23y=24 (a) by completing...Ch. 10.4 - The product of two consecutive odd integers is 99....Ch. 10.4 - The product of two consecutive odd integers is...Ch. 10.4 - Find the dimensions of a triangle whose width is...Ch. 10.4 - If a triangle that has an area of 110 square feet...Ch. 10.4 - The sun casts a shadow from a flag pole. The...Ch. 10.4 - The distance between opposite corners of a...Ch. 10.4 - The length of a 200 square foot rectangular...Ch. 10.4 - A rectangular tablecloth has an area of 80 square...Ch. 10.4 - An arrow is shot from the ground into the air at...Ch. 10.4 - A man throws a ball into the air with a velocity...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - A bullet is fired straight up from a BB gun with...Ch. 10.4 - A city planner wants to build a bridge across a...Ch. 10.4 - Make up a problem involving the product of two...Ch. 10.4 - Make up a problem involving the product of two...Ch. 10.5 - Graph y=x2 .Ch. 10.5 - Graph y=x2+1 .Ch. 10.5 - Determine whether each parabola opens upward or...Ch. 10.5 - Determine whether each parabola opens upward or...Ch. 10.5 - For the parabola find: (a) the axis of symmetry...Ch. 10.5 - For the parabola y=2x24x3 find: (a) the axis of...Ch. 10.5 - Find the intercepts of the parabola y=x2+2x8 .Ch. 10.5 - Find the intercepts of the parabola y=x24x12 .Ch. 10.5 - Find the intercepts of the parabola y=3x2+4x+4 .Ch. 10.5 - Find the intercepts of the parabola y=x24x5 .Ch. 10.5 - Find the intercepts of the parabola y=x212x36 .Ch. 10.5 - Find the intercepts of the parabola y=9x2+12x+4 .Ch. 10.5 - Graph the parabola y=x2+2x8 .Ch. 10.5 - Graph the parabola y=x28x+12 .Ch. 10.5 - Graph the parabola y=3x2+12x12 .Ch. 10.5 - Graph the parabola y=25x2+10x+1 .Ch. 10.5 - Graph the parabola y=2x26x+5 .Ch. 10.5 - Graph the parabola y=2x21 .Ch. 10.5 - Graph the parabola y=5x2+10x+3 .Ch. 10.5 - Graph the parabola y=3x26x+5 .Ch. 10.5 - Find the maximum or minimum value of the quadratic...Ch. 10.5 - Find the maximum or minimum value of the quadratic...Ch. 10.5 - The quadratic equation h=16t2+128t+32 is used to...Ch. 10.5 - A toy rocket shot upward from the ground at a rate...Ch. 10.5 - In the following exercises, graph: 163. y=x2+3Ch. 10.5 - In the following exercises, graph: 164. y=x2+1Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find (a) the axis of...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, find the x- and...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, graph by using...Ch. 10.5 - In the following exercises, find the maximum or...Ch. 10.5 - In the following exercises, find the maximum or...Ch. 10.5 - In the following exercises, find the maximum or...Ch. 10.5 - In the following exercises, find the maximum or...Ch. 10.5 - In the following exercises, find the maximum or...Ch. 10.5 - In the following exercises, find the maximum or...Ch. 10.5 - In the following exercises, solve. Round answers...Ch. 10.5 - In the following exercises, solve. Round answers...Ch. 10.5 - In the following exercises, solve. Round answers...Ch. 10.5 - In the following exercises, solve. Round answers...Ch. 10.5 - In the following exercises, solve. Round answers...Ch. 10.5 - In the following exercises, solve. Round answers...Ch. 10.5 - In the previous set of exercises, you worked with...Ch. 10.5 - In the previous set of exercises, you worked with...Ch. 10.5 - For the revenue model in Exercise 10.205 and...Ch. 10.5 - For the revenue model in Exercise 10.206 and...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - In the following exercises, solve using the Square...Ch. 10 - 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In the following exercises, complete the square to...Ch. 10 - In the following exercises, complete the square to...Ch. 10 - In the following exercises, complete the square to...Ch. 10 - In the following exercises, complete the square to...Ch. 10 - In the following exercises, complete the square to...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - In the following exercises, solve by completing...Ch. 10 - 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In the following exercises, solve by using methods...Ch. 10 - In the following exercises, solve by using methods...Ch. 10 - In the following exercises, solve by using methods...Ch. 10 - In the following exercises, graph by plotting...Ch. 10 - In the following exercises, graph by plotting...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, determine if the...Ch. 10 - In the following exercises, find (a) the axis of...Ch. 10 - In the following exercises, find (a) the axis of...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, find the x- and...Ch. 10 - In the following exercises, graph by using...Ch. 10 - 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Rounding...Ch. 10 - In the following exercises, solve. Rounding...Ch. 10 - Use the Square Root Property to solve the...Ch. 10 - Use Completing the Square to solve the quadratic...Ch. 10 - Use the Quadratic Formula to solve the quadratic...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Solve the following quadratic equations. Use any...Ch. 10 - Use the discriminant to determine the number of...Ch. 10 - Use the discriminant to determine the number of...Ch. 10 - Solve by factoring, the Square Root Property, or...Ch. 10 - Solve by factoring, the Square Root Property, or...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - For each parabola, find (a) which ways it opens,...Ch. 10 - Graph the following parabolas by using intercepts,...Ch. 10 - Graph the following parabolas by using intercepts,...Ch. 10 - Solve. 342. A water balloon is launched upward at...

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