Question

Solve the equation.
`\sqrt[3]{2x} - 10 = - 3`

Answer 1

Given: The given equation below

`\sqrt[3]{2x}-10=-3`

To Determine: The value of x

First, collect like terms

`\begin{gathered} \sqrt[3]{2x}-10=-3 \\ \sqrt[3]{2x}=-3+10 \\ \sqrt[3]{2x}=7 \end{gathered}`

Take cube of both sides

`\begin{gathered} (\sqrt[3]{2x})^3=7^3 \\ 2x=343 \\ \text{Divide both sides ny 2} \\ (2x)/(2)=(343)/(2) \\ x=171(1)/(2) \end{gathered}`

Hence, x = 171 1/2, or 171.5