Solving Quadratics

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Solve x^2 - 8x = 20 . Which is the solution set of the equation?

{-2, 10}

Solve x^2 + 6x = 7 . Which is the solution set of the equation?

{-7, 1}

Solve x^2 − 24x = −80 What is the solution set of the equation?

{4, 20}

Solve x^2 + 14x = −24. What is the solution set of the equation?

{−12, −2}

What are the solutions to the quadratic equation 4(x + 2)2 = 36

x = −5 and x = 1

Which is a solution to the equation? (x −2)(x + 5) = 18

x = −7

Which equation is true for x = -2 and x = 2?

4x^2 = 16

Atraeus is solving the quadratic equation by completing the square. 7x^2 - 14x + 6 = 0 7x^2 - 14x = -6 A(x^2 - 2x) = -6 What is the value of A (the GCF)?

7

What are the solutions of 3x^2 + 14x + 16 = 0?

B

Which is a solution to (x − 2)(x + 10) = 13?

x = 3

What is a solution to (x + 6)(x + 2) = 60?

x = 4

What are the solutions of the quadratic equation (x + 3)^2 = 49?

x = 4 and x = -10

What are the solutions to the quadratic equation x^2 - 16 = 0?

x = 4 and x = -4

What are the solution(s) to the quadratic equation x^2 - 25 = 0?

x = 5 and x = -5

What are the solutions to the quadratic equation 3(x − 4)^2 = 75?

x = −1 and x = 9

Mariya is solving the quadratic equation by completing the square. 8x^2 - 20x + 3 = 0 8x^2 - 20x = -3 A(2x^2 - 5x) = -3 What is the value of A (the GCF)?

4

An equation has solutions of m = -5 and m = 9. Which could be the equation?

(m + 5)(m - 9) = 0

What is the only solution of 2x^2 + 8x = x^2 - 16?

-4

Which are the roots of the quadratic function f(q) = q^2 - 125?

1 and 2

Isoke is solving the quadratic equation by completing the square. 10x^2 + 40x - 13 = 0 10x^2 + 40x = 13 A(x^2 + 4x) = 13 What is the value of A (the GCF)?

10

For what values of x is x^2 + 2x = 24 true?

4 and -6

What are the solution(s) of the quadratic equation 98 + x^2 = 0?

No solution

What are the solutions to the equation? x^2 + 6x = 40

x = −10 and x = 4

The only solution of the equation x^2 + bx + 16 = 0 is x = 4. What is the value of b?

b = -8

Which function has real zeros at x = −10 and x = −6?

f(x) = x^2 + 16x + 60

Which function has zeros at x = 10 and x = 2?

f(x) = x^2 - 12x + 20

Which function has zeros at x = −2 and x = 5?

f(x) = x^2 − 3x − 10

What are the solutions to m^2 - 9 = 0?

m = -3 and m = 3

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width. Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?

w(w + 2) = 48

What are the solutions to x^2 + 8x + 7 = 0?

x = -7 and x = -1

Which is a solution to (x - 3)(x + 9) = -27?

x = 0

Which is a solution to the equation? (x − 3)(x − 5) = 35

x = 10


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