Question

Which of the following occurs within the solution process for ∛(5x-2)-∛4x=0

A.)squaring both sides once
B.)squaring both sides twice
C.)cubing both sides once
D.)cubing both sides twice

Answer 1

C

Explanation:

rearrangeing:-

∛(5x - 2) = ∛((4x)

Cubing both sides:-

5x - 2 = 4x

Answer 2

cubing both sides once

Explanation:

∛(5x-2)-∛4x=0

To solve this equation , we move second term to the other side

Add cube root (4x) on both sides

`\sqrt[3]{5x-2} =\sqrt[3]{4x}`

Now we remove cube root.

To remove cube root we take cube on both sides because cube and cube root will get cancelled.

`(\sqrt[3]{5x-2})^3=(\sqrt[3]{4x})^3`

`5x-2=4x`

So, cubing both sides once