x^4+x^2+47=0

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Solution for x^4+x^2+47=0 equation:


Simplifying
x4 + x2 + 47 = 0

Reorder the terms:
47 + x2 + x4 = 0

Solving
47 + x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-47' to each side of the equation.
47 + x2 + -47 + x4 = 0 + -47

Reorder the terms:
47 + -47 + x2 + x4 = 0 + -47

Combine like terms: 47 + -47 = 0
0 + x2 + x4 = 0 + -47
x2 + x4 = 0 + -47

Combine like terms: 0 + -47 = -47
x2 + x4 = -47

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 = -47 + 0.25

Reorder the terms:
0.25 + x2 + x4 = -47 + 0.25

Combine like terms: -47 + 0.25 = -46.75
0.25 + x2 + x4 = -46.75

Factor a perfect square on the left side:
(x2 + 0.5)(x2 + 0.5) = -46.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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