Question

Solve the equation, and check the solutions ∛(9-x)=6.

Answer 1

The solution is:
`x = -207`

Explanation:

We have the following equation:

`\sqrt[3]{9-x} = 6`

Elevating both sides to 3, we can isolate x

`\sqrt[3]{9-x}^(3) = 6^(3)`

`9-x = 216`

`-x = 216 - 9`

Multiplying by -1

`x = -207`

Checking

`\sqrt[3]{9-(-207)} = \sqrt[3]{216} = 6`