Step-by-step explanation:
[tex]3 {(x + 9)}^{ \frac{3}{4} } = 24[/tex]
[tex]3 {(x + 9)}^{\frac{3}{4} } - 24 = 0[/tex]
[tex](3 \times \frac{ {(x + 9)}^{3} }{4} ) - 24 = 0 \\ { \frac{3(x + 9)}{4} }^{3} - 24 = 0 \\ [/tex]
[tex]\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[/tex]
x=(-5.825, -10.587, -10.587)
