@gamaz321 That's only one solution. There's more.note [imath] (x^3+ 1)^3 = x^9 + 3x^6 + 3x^3 + 1[/imath]
[imath]x^9+3x^6+3x^3-16x+9 = 0[/imath]
by observation, note [imath]x=1[/imath] is a solution
It's a tough problem and difficult to solve through ordinary methods.Hello,
I am trying to solve an equation. However, it is getting too complicated to handle after a few steps. I would appreciate any help to allow me to proceed further.
Thank you.
I could not proceed even with the suggestion. It appears too complex. Sorry. Thanks anyways.It's a tough problem and difficult to solve through ordinary methods.
Observe [imath]\frac{x^3+1}{2}[/imath] and [imath]\sqrt[3]{2x-1}[/imath] are inverses of each other.
Can you continue with this hint?
It's less complicated than you think, and the solution is quite elegant. Here's another hint.I could not proceed even with the suggestion. It appears too complex. Sorry. Thanks anyways.