x^4+a*x^2-1=0

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Solution for x^4+a*x^2-1=0 equation:


Simplifying
x4 + a * x2 + -1 = 0

Multiply a * x2
x4 + ax2 + -1 = 0

Reorder the terms:
-1 + ax2 + x4 = 0

Solving
-1 + ax2 + x4 = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + ax2 + 1 + x4 = 0 + 1

Reorder the terms:
-1 + 1 + ax2 + x4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ax2 + x4 = 0 + 1
ax2 + x4 = 0 + 1

Combine like terms: 0 + 1 = 1
ax2 + x4 = 1

Add '-1x4' to each side of the equation.
ax2 + x4 + -1x4 = 1 + -1x4

Combine like terms: x4 + -1x4 = 0
ax2 + 0 = 1 + -1x4
ax2 = 1 + -1x4

Divide each side by 'x2'.
a = x-2 + -1x2

Simplifying
a = x-2 + -1x2

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