Question

What is the solution to the equation?

3(+ 9)4
24
A.
-3
O
B.
6
OC.
7.
OD. 25
Reset

Answer 1

7

Explanation:

`3 {(x + 9)}^{ (3)/(4) } = 24 \\ \\ {(x + 9)}^{ (3)/(4) } = (24)/(3) \\ \\ {(x + 9)}^{ (3)/(4) } = 8 \\ \\ {(x + 9)}^{ (3)/(4) } = {2}^(3) \\ \\ (x + 9) = {2}^{3 * (4)/(3) } \\ \\ x + 9 = {2}^(4) \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7`