x^4+4x^2+6=0

Solution for x^4+4x^2+6=0 equation:

Simplifying
x4 + 4x2 + 6 = 0

Reorder the terms:
6 + 4x2 + x4 = 0

Solving
6 + 4x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4x2 + -6 + x4 = 0 + -6

Reorder the terms:
6 + -6 + 4x2 + x4 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4x2 + x4 = 0 + -6
4x2 + x4 = 0 + -6

Combine like terms: 0 + -6 = -6
4x2 + x4 = -6

The x term is 4x2.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x2 + 4 + x4 = -6 + 4

Reorder the terms:
4 + 4x2 + x4 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + 4x2 + x4 = -2

Factor a perfect square on the left side:
(x2 + 2)(x2 + 2) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.