For this case we have the following expression:
[tex]\sqrt [3] {5x-2} - \sqrt [3] {4x} = 0[/tex]
If we add to both sides of the equation [tex]\sqrt [3] {4x}[/tex] we have:
[tex]\sqrt [3] {5x-2} = \sqrt [3] {4x}[/tex]
To eliminate the roots we must raise both sides to the cube:
[tex](\sqrt [3] {5x-2}) ^ 3 = (\sqrt [3] {4x}) ^ 3\\5x-2 = 4x[/tex]
So, the correct option is the option c
Answer:
Option C
