Solving Quadratic Equations: Square Root Property

Question 1

What are the solutions to the quadratic equation 4x2 = 64?

Revolt · Accepted Answer

x = −4 and x = 4

Question 2

Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was(x + 2)2 = 4. Next, he took the square root of each side.Which was the resulting equation of that step?

Revolt · Accepted Answer

x + 2 = ±2

Question 3

What is the first step in solving the quadratic equation x2 – 40 = 0?

Revolt · Accepted Answer

adding 40 to both sides of the equation

Question 4

What are the solutions to the quadratic equation x2 – 16 = 0?

Revolt · Accepted Answer

x = 4 and x = –4

Question 5

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation(x – 8)2 = 144, x represents the side measure of the original lawn.

Revolt · Accepted Answer

20 feet by 20 feet

Question 6

What are the solution(s) to the quadratic equation 50 – x2 = 0?

Revolt · Accepted Answer

x = ±5

Solving Quadratic Equations: Square Root Property Answers

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