X^4-X^2+240=0

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Solution for X^4-X^2+240=0 equation:


Simplifying
X4 + -1X2 + 240 = 0

Reorder the terms:
240 + -1X2 + X4 = 0

Solving
240 + -1X2 + X4 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-240' to each side of the equation.
240 + -1X2 + -240 + X4 = 0 + -240

Reorder the terms:
240 + -240 + -1X2 + X4 = 0 + -240

Combine like terms: 240 + -240 = 0
0 + -1X2 + X4 = 0 + -240
-1X2 + X4 = 0 + -240

Combine like terms: 0 + -240 = -240
-1X2 + X4 = -240

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 = -240 + 0.25

Reorder the terms:
0.25 + -1X2 + X4 = -240 + 0.25

Combine like terms: -240 + 0.25 = -239.75
0.25 + -1X2 + X4 = -239.75

Factor a perfect square on the left side:
(X2 + -0.5)(X2 + -0.5) = -239.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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