Solving (1/2)x^4-x^2-1=0: A Comprehensive Guide

[nameVoid]

(1/2)x^4-x^2-1=0

 

[kof9595995]

try let t=x^2
by the way, you'd better show at least some of your attempt first, people do not like to answer a question shown in this way

 

[yeongil]

Yes, let's see some work nameVoid!

Another hint, if you don't like fractions, is to multiple both sides of the equation by 2.


01

 

[whybother]

A popular strategy to get the first root to this type of problem is "guess and check". After you've guessed one root, which is easy to do in this case, you can do polynomial long division to reduce the order of the polynomial and get an equation you may be more familar with solving.