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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

Respuesta :

Answer:

C

Step-by-step explanation:

rearrangeing:-

∛(5x - 2) = ∛((4x)

Cubing both sides:-

5x - 2 = 4x

Answer:

cubing both sides once

Step-by-step explanation:

∛(5x-2)-∛4x=0

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

Add cube root (4x) on both sides

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

Now we remove cube root.

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

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

[tex]5x-2=4x[/tex]

So, cubing both sides once

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