SOLUTION: Solve. x^4-9x^2+20=0

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Solve. x^4-9x^2+20=0      Log On


   



Question 549318: Solve. x^4-9x^2+20=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Let

Then



Factor



So:



or



But since :



or



Hence



or



Giving us the four roots we expect from a quartic equation.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism