MAT101 Case 4 Revised March 2014 (Dr. Rensvold) INSTRUCTIONS: Read the references found on the Background Info page. Study the examples there, and the ones given below. Work out the problems, showing all the computational steps. This is particularly important for those problems for which the answers are given. On those problems, the correct procedure is the only thing that counts toward the assignment grade. SOLVING QUADRATIC EQUATIONS BY FACTORING. References: Waner, 2007 Examples: E1: x 4 0.(x 2)(x 2) 0.The two factors are (x+2) and (x-2). If EITHER is equal to zero, the corresponding value of x is a root.Solving the two factors for x:(x+2)=0 x=-2(x-2)=0 x 2The two roots (solutio22ns) are x=2 and x=-2.ANS: x= 2Checking:(2) 4 4 4 0(-2) 4 4 4 0 E2: x 6.x x 6 0. (Must be in this form.)(x+2)(x-3)=0The two factors are (x+2) and (x-3). Checking:(x+2)(x-3)=x 3x 2x 6 x x 6.If EITHER is equal to zero, the corresponding value of x is a root.Solv222ing the two factors for x:(x+2)=0 x=-2(x-3)=0 x 3The two roots (solutions) are x=-2 and x=3ANS: x=-2 or +3.Checking:(x) x 6(-2) ( 2) 4 2 6(3) (3) 9 3 6 Problems 1 through 5: Find the roots (values of x when the expression is equal to zero) using factoring. Prove your answers are correct by checking, or showing that the values of x you computed satisfy the original equation. 1. X(4x 25) = 0 X = 0
Directions: Read the captioned book. Then answer the questions contained in this study guide. Post your completed document to the appropriate assignment box on the course website.
Directions: Read the captioned book. Then answer the questions contained in this study guide. Post your completed document to the appropriate assignment box on the course website.
Here is a tutorial for an over view and for a reference as you work through these problems
This is the result of solving an equation to find a value(s) for the variable(s) which make the equation true.
A. x - 3x [(let x be the unknown number, and triple that number would be 3x. Triple a number (3x) has to be subtracted from the number, which is x,
Refer as needed to material in Chapters 12 and 13. Read the instructions carefully and answer all questions clearly and concisely. Include examples to highlight your comments.
So we start of with x^2-4x+y^2+8y=-4 you would then take 1/2 of -4 and square it, then take 1/2 of 8 and square it. You would then get x^2-4x+4-4+(y^2+8y+16-16=-4. After all of these steps you would factor the square, x-2^2-4+y+42-16=-4, x-2^2+y+4^2-20=-4. Then you would add 20 to both sides, x-)^2+y+4^2=16
Find the number that 5 times itself is the same as 3 times that number plus 2.
You must show all steps and provide any evidence needed in your solution to receive full credit.
5 x 2 + -6 x 4 + 5 x 8 + -6 x 1= 10 -24 + 40 -6= 20
Access the article at the URL given above and read it carefully. Based on your reading, answer the questions in the spaces below. Use full sentences and show all necessary working but do not use more space than is given here. Other references are not necessary but, if you do use any (for example, online
Answer each problem thoroughly. Each problem is worth 10 points. Make sure to provide detailed explanations for each part of each problem.
4) The Problem Set #1 (only the question solutions portion) is due at the end of the day on September 24th.
Each question is marked out of 25%. The technique and detail parameter was subtracted from the paper directly used as a instruction and reference.