Can x^4 +2x-1=0 be solved algebraically?

Question

anonymous · Answer

yes, with synthetic division

anonymous · Answer

or long division whichever you prefer

anonymous · Answer

confirm that the 2nd term is just an x
if that is the case must use differnt method than factoring.

anonymous · Answer

Could I solve it by completing the square also?

anonymous · Answer

The only rational zeros possible are 1 and -1.  Try them.  Then use synthetic division to get a quotient with a remainder of 0

anonymous · Answer

@Dock-$$x ^{4}+2x-1=0$$ This is the question, what must you divide this with?

anonymous · Answer

Well 1 or -1 don't work, it will be irrational zeros

anonymous · Answer

Awesome one Luis

accessdenied · Answer

Why do you use the quadratic formula on a quartic function?

anonymous · Answer

Got it correct! Thanks!

anonymous · Answer

you can't use quadratic formula on quartic function...

anonymous · Answer

you must have mistyped x^2 as x^4

anonymous · Answer

Sorry guys I meant x^2

anonymous · Answer

yes then use quadratic formula like luis

anonymous · Answer

$$-2\pm \sqrt{2+4}/2$$Rofl Jtla its easy then..
x^2 +2x-1=0
Use the formula:
$$-2\pm \sqrt{6}/2$$