Find all the real numbers x that satisfy the equation. \sqrt[ 3]{ - x} = 3 \sqrt[3]{5}

Question

Find all the real numbers x that satisfy the equation.
`\sqrt[ 3]{ - x} = 3 \sqrt[3]{5}`

Answer 1

`\begin{gathered} \sqrt[3]{-x}=3\sqrt[3]{5} \\ (\sqrt[3]{-x})^3=(3\sqrt[3]{5})^3 \\ -x=3^3\cdot(5) \\ -x=27\cdot5 \\ x=-135 \end{gathered}`
`\begin{gathered} x^{(-2)/(5)}=5^{} \\ x=5^{(-5)/(2)} \end{gathered}`