Question

Can you please show me how to check the answer to see if it is right.

Answer 1

We are given the equation;

`-7=\sqrt[3]{9x-1}-3`

Collect like terms

`\begin{gathered} -4=\sqrt[3]{9x-1} \\ (-4)^3=(\sqrt[3]{9x-1})^3 \\ -64=9x-1 \\ -63=9x \\ x=-7 \end{gathered}`

To check this, we insert the x value into the original equation, if it gives both sides equal, it is correct.

`\begin{gathered} -7=\sqrt[3]{9x-1}-3 \\ -7=\sqrt[3]{9(-7)-1}-3 \\ -7=\sqrt[3]{-64}-3 \\ -7=-4-3 \\ -7=-7 \end{gathered}`

Therefore, the answer is -7