Question

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

Answer 1

Answer:

The solution is $x = -1$

Step-by-step 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

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