Question

14 What are the solutions to the equation 3(x − 4)² = 27?

(1) 1 and 7
(3) 4 ± √24
(2) −1 and -7
(4) − 4 ± √24

Answer 1

(1) 1 and 7

Explanation:

Hello!

We can solve by isolating the variable.

Solve

• 3(x - 4)² = 27
  
• (x - 4)² = 9
  
• √(x - 4)² = √9
  
• (x - 4) = ± 3
  
• x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.