x^4+x^2-B^2=0

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


Simplifying
x4 + x2 + -1B2 = 0

Reorder the terms:
-1B2 + x2 + x4 = 0

Solving
-1B2 + x2 + x4 = 0

Solving for variable 'B'.

Move all terms containing B to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
-1B2 + x2 + -1x2 + x4 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-1B2 + 0 + x4 = 0 + -1x2
-1B2 + x4 = 0 + -1x2
Remove the zero:
-1B2 + x4 = -1x2

Add '-1x4' to each side of the equation.
-1B2 + x4 + -1x4 = -1x2 + -1x4

Combine like terms: x4 + -1x4 = 0
-1B2 + 0 = -1x2 + -1x4
-1B2 = -1x2 + -1x4

Divide each side by '-1'.
B2 = x2 + x4

Simplifying
B2 = x2 + x4

Reorder the terms:
B2 + -1x2 + -1x4 = x2 + -1x2 + x4 + -1x4

Combine like terms: x2 + -1x2 = 0
B2 + -1x2 + -1x4 = 0 + x4 + -1x4
B2 + -1x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
B2 + -1x2 + -1x4 = 0

The solution to this equation could not be determined.

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