Question

X^1/3 + (2x-3)^1/3 = [12(x-1)]^1/3

Answer 1

Solve for x? If so, x = 3

Answer 2

How to prove tat?

Answer 3

http://www.wolframalpha.com/input/?i=x%5E1%2F3+%2B+%282x-3%29%5E1%2F3++%3D+%5B12%28x-1%29%5D%5E1%2F3

Not sure how algebraically, but you could always graph it and find intersection

Answer 4

Personally, I did it by guessing. Maybe if we cube both sides there is some messy algebra that could lead to a solution, but it's unclear to me.

Answer 5

Yeah, probably cube both sides