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

Question

anonymous · Answer

(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

anonymous · Answer

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

anonymous · Answer

(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.

anonymous · Answer

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