x^4-36x^2+1024=0

Solution for x^4-36x^2+1024=0 equation:

Simplifying
x4 + -36x2 + 1024 = 0

Reorder the terms:
1024 + -36x2 + x4 = 0

Solving
1024 + -36x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1024' to each side of the equation.
1024 + -36x2 + -1024 + x4 = 0 + -1024

Reorder the terms:
1024 + -1024 + -36x2 + x4 = 0 + -1024

Combine like terms: 1024 + -1024 = 0
0 + -36x2 + x4 = 0 + -1024
-36x2 + x4 = 0 + -1024

Combine like terms: 0 + -1024 = -1024
-36x2 + x4 = -1024

The x term is -36x2.  Take half its coefficient (-18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
-36x2 + 324 + x4 = -1024 + 324

Reorder the terms:
324 + -36x2 + x4 = -1024 + 324

Combine like terms: -1024 + 324 = -700
324 + -36x2 + x4 = -700

Factor a perfect square on the left side:
(x2 + -18)(x2 + -18) = -700

Can't calculate square root of the right side.

The solution to this equation could not be determined.