x^4-x^2+70=0

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Solution for x^4-x^2+70=0 equation:


Simplifying
x4 + -1x2 + 70 = 0

Reorder the terms:
70 + -1x2 + x4 = 0

Solving
70 + -1x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-70' to each side of the equation.
70 + -1x2 + -70 + x4 = 0 + -70

Reorder the terms:
70 + -70 + -1x2 + x4 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -1x2 + x4 = 0 + -70
-1x2 + x4 = 0 + -70

Combine like terms: 0 + -70 = -70
-1x2 + x4 = -70

The x term is -1x2.  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.
-1x2 + 0.25 + x4 = -70 + 0.25

Reorder the terms:
0.25 + -1x2 + x4 = -70 + 0.25

Combine like terms: -70 + 0.25 = -69.75
0.25 + -1x2 + x4 = -69.75

Factor a perfect square on the left side:
(x2 + -0.5)(x2 + -0.5) = -69.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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