Solving Quadratic Equations: Square Root Property

Question 1

What are the solution(s) to the quadratic equation 9x2 = 4?

Revolt · Accepted Answer

x = and x =

Question 2

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options.

Question 3

What are the solution(s) to the quadratic equation x2 – 25 = 0?

Revolt · Accepted Answer

x = 5 and x = –5

Question 4

What is the first step in solving the quadratic equation x2 = ?

Revolt · Accepted Answer

Take the square root of both sides of the equation.

Question 5

What are the solution(s) to the quadratic equation 40 − x2 = 0?

Revolt · Accepted Answer

x = ±2

Question 6

What values of b satisfy 3(2b + 3)2 = 36?

Revolt · Accepted Answer

b = and

Question 7

Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo.

Revolt · Accepted Answer

11 inches by 11 inches

Question 8

Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?

Revolt · Accepted Answer

9

Question 9

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

Revolt · Accepted Answer

x = −1 and x = 9

Question 10

What are the solutions to the quadratic equation (5y + 6)2 = 24?

Revolt · Accepted Answer

y = and y =

Solving Quadratic Equations: Square Root Property Answers

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