Solve the following equation by completing the square: x^4 – 4x^2 + 2 = 0 show steps, and if you can, leave the numbers as fractions and sqrts instead of decimals.

Let 
so our equation becomes 
subtract 2 from both sides of the equation 
Take half of b, square the result and add to both sides  (remember -2 it will be used when factoring the trinomial)
(-2)² = 4

Factor trinomial and simplify right side  note:-2 is in the factor
Square root both sides (must use +/-): 
Add 2 to both sides: 
:-( not finish yet

  and 
Final answers:
and 


Think of it as four possible answers: