Question

Solve the equation, and check the solutions ∛(5x-3) +8=6.

Answer 1

The solution is
`x = -1`

Explanation:

We have the following equation:

`\sqrt[3]{5x-3} + 8 = 6`

We place everything with the root on one side, everything without on the other site of the equality. So:

`\sqrt[3]{5x-3} = -2`

Elevating both sides to 3, we can isolate x

`\sqrt[3]{5x-3}^(3) = (-2)^(3)`

`5x-3 = -8`

`5x = -5`

`x = -1`

Checking

`\sqrt[3]{5(-1) - 3)} + 8 = \sqrt[3]{-8} + 8 = -2 + 8 = 6`