You can
put this solution on YOUR website!x^4-5x^2+4=0
(x^2-4)(x^2-1)=0
(x-2)(x+2)(x-1)(x+1)=0
There are 4 solutions:
x-2=0
z=2
x+2=0
x=-2
x-1=0
x=1
x+1=0
x=-1
To see my explanation of this topic on my own website, please go to "www2.seminolestate.edu/rrapalje". Look for the link on my Homepage called "Basic, Intermediate, and College Algebra: One Step at a Time." Look under "Basic Algebra" for Chapter 2, Solving Quadratic Equations.
I think you will find the explanations easier to understand than traditional textbooks. My own students did!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus