Question

Need ASAP. Solve with square root method.
`(x-1)^(2) -18=0`

Answer 1

x = 1 ± 3
`√(2)`

Explanation:

Given

(x - 1)² - 18 = 0 ( add 18 to both sides )

(x - 1)² = 18 ( take the square root of both sides )

x - 1 = ±
`√(18)` = ±
`√(9(2))` = ± 3
`√(2)` ( add 1 to both sides )

x = 1 ± 3
`√(2)`, thus the exact solutions are

x = 1 - 3
`√(2)`

x = 1 + 3
`√(2)`