How do I solve this:

x-x^3=2

Question

How do I solve this:

x-x^3=2

anonymous · Answer

$$x-x^3 = x(1-x^2)$$

anonymous · Answer

therefore either x=2 or 1-x^2=2

anonymous · Answer

say $$x \neq, then 1-x^2=2$$

anonymous · Answer

$$1-x^2=2, will give x^2=-1, which has complex roots \therefore only answer is x=2$$

anonymous · Answer

Well two doesnt work out. The real answer is -1.52
Is their any way to do this algebraically?

anonymous · Answer

can you retype the question,please

anonymous · Answer

Sure, $$x - x ^{3} =2 $$

anonymous · Answer

just to make sure it is x^3, right?

anonymous · Answer

Yeah its x cubed

anonymous · Answer

and are you familiar with complex numbers

anonymous · Answer

sorry for asking

anonymous · Answer

We've done last year but im not sure Ill remember. 
Im not even sure if I have to figure this out alebraically.
So Ill just ask a friend tommorow.
But thanks alot fo helping.

anonymous · Answer

i think you take the magnitude of the real and imaginary solution you will have the answer as -1.5, which makes complete sense

anonymous · Answer

else this equation cant have real roots

anonymous · Answer

Oh wow that makes sense, I think ive got it from here. Thanks again!!