patricia200761 patricia200761

16-06-2022
Mathematics

contestada

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

Respuesta :

chetankachana chetankachana

16-06-2022

Answer:

(1) 1 and 7

Step-by-step 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.

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