x^4-2x^2+64=0

Solution for x^4-2x^2+64=0 equation:

Simplifying
x4 + -2x2 + 64 = 0

Reorder the terms:
64 + -2x2 + x4 = 0

Solving
64 + -2x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -2x2 + -64 + x4 = 0 + -64

Reorder the terms:
64 + -64 + -2x2 + x4 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -2x2 + x4 = 0 + -64
-2x2 + x4 = 0 + -64

Combine like terms: 0 + -64 = -64
-2x2 + x4 = -64

The x term is -2x2.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x2 + 1 + x4 = -64 + 1

Reorder the terms:
1 + -2x2 + x4 = -64 + 1

Combine like terms: -64 + 1 = -63
1 + -2x2 + x4 = -63

Factor a perfect square on the left side:
(x2 + -1)(x2 + -1) = -63

Can't calculate square root of the right side.

The solution to this equation could not be determined.