you are close
x4-5x2+4=0
(x2-4)(x2-1)=0
(x-1)(x+1)(x-2)(x+2)=0
because one of the terms has to equal 0
x=-2,2, and x=-1,1
alternatively, you dont have to factor (x2-4)(x2-1)=0
(x2-4)(x2-1)=0
again, because one of the terms has to equal 0
x=sqrt4, and x=sqrt1
x=-2,2, and x=-1,1