Question

What is the solution of 3 sqrt x+8=-4?

Answer 1

`x=-72`

Explanation:

The given equation is
`\sqrt[3]{x+8}=-4`.

We cube both sides of this equation to obtain;

`(\sqrt[3]{x+8})^3=(-4)^3`.

This implies that;

`(x+8)=-64`

We group similar terms to obtain;

`x=-64-8`

We simplify the right hand side of the equation to obtain;

`x=-72`

Therefore x=-72 is the solution of the given equation.