Question

Solve by taking the square root of both sides 4(x-4)^2-180=0

Answer 1

Answer:

x = 4 ± 3$\sqrt{5}$

Step-by-step explanation:

Given

4(x - 4)² - 180 = 0 ( add 180 to both sides )

4(x - 4)² = 180 ( divide both sides by 4 )

(x - 4)² = 45 ( take the square root of both sides )

x - 4 = ± $\sqrt{45}$ = ± 3$\sqrt{5}$

Add 4 to both sides

x = 4 ± 3$\sqrt{5}$