Solving Quadratic Equations: Square Root Property Answers

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

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

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?

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

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

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

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.

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

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

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