x^4-2x^2+27=0

Solution for x^4-2x^2+27=0 equation:

Simplifying
x4 + -2x2 + 27 = 0

Reorder the terms:
27 + -2x2 + x4 = 0

Solving
27 + -2x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-27' to each side of the equation.
27 + -2x2 + -27 + x4 = 0 + -27

Reorder the terms:
27 + -27 + -2x2 + x4 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -2x2 + x4 = 0 + -27
-2x2 + x4 = 0 + -27

Combine like terms: 0 + -27 = -27
-2x2 + x4 = -27

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 = -27 + 1

Reorder the terms:
1 + -2x2 + x4 = -27 + 1

Combine like terms: -27 + 1 = -26
1 + -2x2 + x4 = -26

Factor a perfect square on the left side:
(x2 + -1)(x2 + -1) = -26

Can't calculate square root of the right side.

The solution to this equation could not be determined.