Solve by taking the square root of both sides 3(x-1)^2-162=0 a. x = -1 - 3 sqrt 6 or -1 + 3 sqrt 6
b. x = 1 - 3 sqrt 6 or -1 + 3 sqrt 6
c. x = -1 - 3 sqrt 6 or 1 + 3 sqrt 6
d. x = 1 - 6 sqrt 6 or 1 + 6 sqrt 6

see explanation

Step-by-step explanation:

Given

3(x - 1)² - 162 = 0 ( add 162 to both sides )

3(x - 1)² = 162 ( divide both sides by 3 )

(x - 1)² = 54 ( take the square root of both sides )

x - 1 = ± = ± 3 ( add 1 to both sides )

x = 1 ± 3

x = 1 - 3 or x = 1 + 3

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7