For what value of a, the equation(a? -a-2)x² +(a² - 4) x+a² - 3a +2=0 will have more than two solution? Does there exist a value of x for which the above equation will be anidentity in a?

Q: How many real solutions are there to the equation |2x – 3|+ |5 – 2x| = 2? Select one: а. 1 С. 2 d. 3…

A: We will use basic of set theory to solve this question.

Q: The equation x? + 3x – 10 = 0 has two solutions. Enter them below.

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Q: What equation could you write to determine the value (3r-2) (10x-11) (3x + 1) 10x-11+3x-2+3x+1%3D180

A: Sum of all angles in a triangle is 180°

Q: Solve these one-step equations using the appropriate operation to balance it. 1. 15 - x = 21 2. -1 +…

A: The given equations are 1.   15 - x = 21 2.   -1 + x = - 9 3.    5x = - 15 4.    x/ -12 = 3

Q: For what value of c does the equation x^2 - 10x + c = 0 have one solution

A: Given equation is x2-10x+c=0 find the value of c , which has one solution

Q: For what value of a will the equation ax² + 4x = 1 have exactly one solution?

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Q: 10. If the equation 2x? + bx + 9 = 0 has only one real solution, then which of the following could…

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Q: value(s)

A: Please refer to the image below

Q: (x) = x^2 +3x-4, which of the following represents the solution for the equation?

A: Topic:- algebra

Q: 7x + b = ax - 6 a = -6 a = 7 a = 1

A: Please refer to the image below

Q: What are the solutions to the equation x²+y²=9 and y=2x+3? O (3.0).(-1.8,-2.4) O (0,3).(-1.8.-2.4) O…

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Q: 11. Solve the equation x = -6+ vb2 - 4ac for b. -4ac – x b = -2ac + x? b = —4ас- г? b = 2x 4ас + 2?…

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Q: Find the solution of e^2x-6e^x-16=0

A: Consider the given equation, e2x-6ex-16=0 Substitute ex=t so we get the quadratic equation,…

Q: For what values of k the equation           -x2 + 2kx - 4 = 0 has one real solution?

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Q: Which equation has no real solutions? @ x²- 5x-6=0 ®x+3x+4=0 ©2x-+3x-2=0 D3+4x+1=0

A: Please see the explanation below

Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: Which of the following equations has both 2 and -4 as solutions? O a.x2+6x + 8 = 0 O b. x2-2x-8 = 0…

A: If b  is a solution of the polynomial p(x) then (x-b) is a factor of p(x).

Q: What is the solution to the equation x2 - 12x – 28 = 0? А. X = -2 and x 14 В. x =-14 and x=2 С. X…

A: The solution of the given equation is below...

Q: Solve the given equation algebraically for all values of x. 3Vx- 2x = -5

A: We have 3x-2x=-5 Rearranging the terms we have 3x=-5+2x Now squaring both side 3x2=-5+2x2 Now using…

Q: What is the solution to the equation x2 + 11x + 30 = 0? A. X = 5 and x = 6 В. X = 10 and x= C. X=…

A: The value of the variable for which the equation is true is called the solution of the equation

Q: Which equation has exactly one solution? CLEAR 6x +5-3x = -3x +5+6x 6x + 5 - 3x = 3x +5-3z 6x +10…

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Q: What is the solution to 8x - 3(2x - 4) = 3(x - 6)? %3D O No Solution O 2 O 30 « Previous Nex Σ

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Q: What is the solution to x² - 9x 8 Ox1 01<x<8 0-8<x< 1

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Q: Given the equation -4 -3 = -12, solve for x and identify if it is an-extraneous solution. %3D Ox =…

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Q: What are the solutions to the following equation? 3x +6 1²+4x - 5 - x-3 12+3x-18 -3

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Q: a.) Solve the equation z³ − 1 = 0 15 1 √3 b.) Evaluate (-+-+3) " 2 2

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Q: x-26 a = 3 Va

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Q: If [x² - 2x + a] = 0 has no solution, then find the values of a

A: We have x2-2x+a=0⇒x2-2x+a∈[0, 1) Given that equation has no solution ⇒x2-2x+a∉[0, 1)

Q: The number of states that joined the United States between 1776 and 1849 is twice the number of…

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Q: for what values of p does the equation have a single solution? 5p+x2=-10-5

A: Given, The equation  5p+x2=-10-5   We have to find the value of p for which the equation have single…

Q: 6. Discuss the nature of the solutions of the given equation without solving. A) 7x² + 5x - 1 = 0 B)…

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Q: Without solving for the value of x, verify whether x = 6 is the solution to the below equation. How…

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Q: Which equation has the same solutions as 2x +x- 3= 0? (3) (2x– 3)(x+1) = 0 (4) (2x+3)(x-1) = 0 (1)…

A: Given :             2x2 + x - 3 = 0

Q: Find the general solution to 22" +3ry = 2x3, r> 0. x>0.

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Q: Let a, b, c be the solution to the equation below 0 = x3 -(2 + 22 + 23)x2 + (23 + 24 + 25)x - 26…

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Q: 9. Solve the following equations: а. 7x-6+2%36 b. V2x-3 = x-3

A: When there is an equality sign between two expressions, the powers or exponents on both sides are…

Q: For what value of a, the equation (a - a - 2)x + (a² - 4)x+a² - 3a+2=0 will have more than two…

A: We need to find the value of a for which equation will have more than 2 solutions and identity.

Q: The equation 24x2+25x−47 ax−2=−8x−3−53 ax−2 is true for all values of x≠2 a, where a is a…

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Q: The solution of the equation 3^2x - 3^x+1 +1 = 3^x-1

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Q: Which equation has no real solutions? A) -2x^2=-168 B) 4x^2+76=32 C)25x^2=1 D) 43-x^2=12

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Q: Which value would you have to eliminate if it appeared as a possible solution to the equation below?…

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Q: The equation 2x^2+16x+4=0 has two solutions A and B where A< B

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Q: (4) Find B such that the equation ßx² + x + B = 0 has a repeated real solution.

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Q: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is…

Q: What is the solution to the equation x² – 12x – 28 = 0? - A. X = -2 and x= 14 B. X =-14 and x 2 C. x…

A: Given quadratic equation is

Q: If r is the only (repeated) real root to the auxiliary equation ar2 + br + c = 0, then general…

A: Given:ar2+br+c=0

Q: Show that the real solutions of the equation ax2 + bx + c = 0 are the negatives of the real…

A: Show that the real solutions of the equation ax2 + bx + c = 0 are the negatives of the real…

Q: For what values of b the equation       x2 - 4x + 4b = 0 has two real solutions?

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Q: Find all real solutions of the equation.

A: 3+x=x2+1First, we have to remove the radical on the left side of the equation,for that we have to…