x^4+2x^2+99=0

Solution for x^4+2x^2+99=0 equation:

Simplifying
x4 + 2x2 + 99 = 0

Reorder the terms:
99 + 2x2 + x4 = 0

Solving
99 + 2x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-99' to each side of the equation.
99 + 2x2 + -99 + x4 = 0 + -99

Reorder the terms:
99 + -99 + 2x2 + x4 = 0 + -99

Combine like terms: 99 + -99 = 0
0 + 2x2 + x4 = 0 + -99
2x2 + x4 = 0 + -99

Combine like terms: 0 + -99 = -99
2x2 + x4 = -99

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 = -99 + 1

Reorder the terms:
1 + 2x2 + x4 = -99 + 1

Combine like terms: -99 + 1 = -98
1 + 2x2 + x4 = -98

Factor a perfect square on the left side:
(x2 + 1)(x2 + 1) = -98

Can't calculate square root of the right side.

The solution to this equation could not be determined.