(x^4-x^2)=-144

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Solution for (x^4-x^2)=-144 equation:


Simplifying
(x4 + -1x2) = -144

Reorder the terms:
(-1x2 + x4) = -144

Remove parenthesis around (-1x2 + x4)
-1x2 + x4 = -144

Solving
-1x2 + x4 = -144

Solving for variable 'x'.

Reorder the terms:
144 + -1x2 + x4 = -144 + 144

Combine like terms: -144 + 144 = 0
144 + -1x2 + x4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -1x2 + -144 + x4 = 0 + -144

Reorder the terms:
144 + -144 + -1x2 + x4 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -1x2 + x4 = 0 + -144
-1x2 + x4 = 0 + -144

Combine like terms: 0 + -144 = -144
-1x2 + x4 = -144

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 = -144 + 0.25

Reorder the terms:
0.25 + -1x2 + x4 = -144 + 0.25

Combine like terms: -144 + 0.25 = -143.75
0.25 + -1x2 + x4 = -143.75

Factor a perfect square on the left side:
(x2 + -0.5)(x2 + -0.5) = -143.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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