y^4+a^2y^2-a^2-1=0

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


Simplifying
y4 + a2y2 + -1a2 + -1 = 0

Reorder the terms:
-1 + -1a2 + a2y2 + y4 = 0

Solving
-1 + -1a2 + a2y2 + y4 = 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 + -1a2 + a2y2 + 1 + y4 = 0 + 1

Reorder the terms:
-1 + 1 + -1a2 + a2y2 + y4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1a2 + a2y2 + y4 = 0 + 1
-1a2 + a2y2 + y4 = 0 + 1

Combine like terms: 0 + 1 = 1
-1a2 + a2y2 + y4 = 1

Add '-1y4' to each side of the equation.
-1a2 + a2y2 + y4 + -1y4 = 1 + -1y4

Combine like terms: y4 + -1y4 = 0
-1a2 + a2y2 + 0 = 1 + -1y4
-1a2 + a2y2 = 1 + -1y4

Reorder the terms:
-1 + -1a2 + a2y2 + y4 = 1 + -1y4 + -1 + y4

Reorder the terms:
-1 + -1a2 + a2y2 + y4 = 1 + -1 + -1y4 + y4

Combine like terms: 1 + -1 = 0
-1 + -1a2 + a2y2 + y4 = 0 + -1y4 + y4
-1 + -1a2 + a2y2 + y4 = -1y4 + y4

Combine like terms: -1y4 + y4 = 0
-1 + -1a2 + a2y2 + y4 = 0

The solution to this equation could not be determined.

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