SOLUTION: how do you find the real number of x^4+5x^2=6

Question 826730: how do you find the real number of x^4+5x^2=6
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
ONE WAY:
Rename to get <--> , then solve.
That change of variable turns the problem into an easier one, where you may clearly see the solution.
Factoring, you transform
into ,
which has the solutions and .
From you get with real solutions
and .
You cannot get real solutions from --> .

ANOTHER WAY:
Just say that you are factoring, like this

where for all ,
and the other factors' zeros,
and ,
are the only real solutions.
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