Question

Use square roots to solve
x2 - 10x + 25 = 144

Answer 1

Answer: x = 17

Step-by-step explanation: Factor the equation to get

(x - 5)² = 144

Take the square root of each side to get

x - 5 = 12 Add 5 to both sides.

x = 17

Check:

17² - 10(17) + 25 = 144

289 - 170 + 25 = 144

119 +25 = 144. true.

Answer 2

x = 7

Explanation:

Factor the problem to get (x - 5)^2 = 144

Square root to get x + 5 = 12

Subtract 5 to get x = 7