Answer:
option B
x = 1 + 3√6 or x = 1 - 3√6
Step-by-step explanation:
Given in the question an equation,
3(x-1)² - 162 = 0
rearrange the x terms to the left and constant to the right
3(x-1)² = 162
(x-1)² = 162/3
(x-1)² = 54
Take square root on both sides
√(x-1)² = √54
x - 1 = ±3√6
x = ±3√6 + 1
So we have two values for x
x = 3√6 + 1 OR x = -3√6 + 1
Answer:

Step-by-step explanation:

Answer:
+
Step-by-step explanation: