ax^4+bx^2-1=0

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Solution for ax^4+bx^2-1=0 equation:


Simplifying
ax4 + bx2 + -1 = 0

Reorder the terms:
-1 + ax4 + bx2 = 0

Solving
-1 + ax4 + bx2 = 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 + ax4 + 1 + bx2 = 0 + 1

Reorder the terms:
-1 + 1 + ax4 + bx2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ax4 + bx2 = 0 + 1
ax4 + bx2 = 0 + 1

Combine like terms: 0 + 1 = 1
ax4 + bx2 = 1

Add '-1bx2' to each side of the equation.
ax4 + bx2 + -1bx2 = 1 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
ax4 + 0 = 1 + -1bx2
ax4 = 1 + -1bx2

Divide each side by 'x4'.
a = x-4 + -1bx-2

Simplifying
a = x-4 + -1bx-2

Reorder the terms:
a = -1bx-2 + x-4

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