Question

(2x-1)^(2/3)=x^(1/3) Solve for x

Answer 1

(2x^+1)(2/3)=1/3x^
(1 1/3X^+2/3=1/3x^)3
4x^+2=x^
3x^=-2
x^=-2/3
Impossible? im pretty sure i screwed up

Answer 2

The answer is square root of 2, square root or 3.

Answer 3

(2x-1)^(2/3)=x^(1/3)
Rearrange to \[\sqrt[3]{(2x-1)^{2}}=\sqrt[3]{x}\] where the a is a 3

Take both sides to third power to cancel third roots.

Then expand \[(2x-1)^{2}\] into \[4x^{2}-4x+1\]=x

Subtract x from both sides to have \[4x^{2}-5x+1\]=0

Quadratic equation it. You get 1 or .25. Verify by plugging it into original.
It does work but I'm too lazy to write it all out.

Answer 4

You're right I was looking at the solution to a different question. Thank you.