Question

What is the solution to the equation? 3(x + 9)^3/4 = 24 HINT: It's not B.

A. -3
B. 6
C. 7
D. 25

Answer 1

Explanation:

`3 {(x + 9)}^{ (3)/(4) } = 24`

`3 {(x + 9)}^{(3)/(4) } - 24 = 0`

`(3 * \frac{ {(x + 9)}^(3) }{4} ) - 24 = 0 \\ { (3(x + 9))/(4) }^(3) - 24 = 0 \\`

`\frac{ {3(x + 9)}^(3) - 96}{4} = 0 \\ \frac{3 {x}^(3) + 81 {x}^(2) + 729x + 2091 }{4} = 0 \\ 3{x}^(3) + 81 {x}^(2) + 729x + 2091 = \\ \frac{ 3( {x}^(3) + 27 {x}^(2) + 243x + 697)}{4} = 0 \\ \\ {x}^(3) + 2 {x}^(2) + 243x + 697 = 0 \\ \\ x = - 5.825`

x=(-5.825, -10.587, -10.587)

Answer 2

C.?

Explanation:

Hope this helps?