x^4+x^2+8=0

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Solution for x^4+x^2+8=0 equation:


Simplifying
x4 + x2 + 8 = 0

Reorder the terms:
8 + x2 + x4 = 0

Solving
8 + x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + x2 + -8 + x4 = 0 + -8

Reorder the terms:
8 + -8 + x2 + x4 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x2 + x4 = 0 + -8
x2 + x4 = 0 + -8

Combine like terms: 0 + -8 = -8
x2 + x4 = -8

The x term is x2.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x2 + 0.25 + x4 = -8 + 0.25

Reorder the terms:
0.25 + x2 + x4 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + x2 + x4 = -7.75

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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