Question

How to solve x^4-33x^2+200=0

Answer 1

x^4-33x^2+200=0 (factor that out)
x^4-33x^2+200 -----> (x^2-8)(x^2-25)

new equation:
x^2-8=0 x^2-25=0 (solve for x for both equations)
x^2=8 x^2 =25

the x's are still squared so you have the square root both sides of the equations to get rid of the ^2:

x^2=8 x^2=25

`\sqrt{ x^(2) } = √(8)`
`\sqrt{x ^(2) } = √(25)`

x=
`2 √(2)` x=5