Question

Solve by taking the square root of both sides.

3 (x +3)^2 – 81 = 0
a. X = -3 -3 sqrt 3 or -3 + 3 sqrt 3 c. 3 sqrt 3 or 3 + 3 sqrt 3
b. X = -3 -6 sqrt 3 or -3 + 6 sqrt 3 d. 3 sqrt 3 or -3 + 3 sqrt 3

Answer 1

a

Explanation:

Answer 2

a

Explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ±
`√(27)` = ± 3
`√(3)` ( subtract 3 from both sides )

x = - 3 ± 3
`√(3)`

x = - 3 - 3
`√(3)` or x = - 3 + 3
`√(3)` → a