a^4b^4-2a^2b^2-99=

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Solution for a^4b^4-2a^2b^2-99= equation: 


Simplifying
a4b4 + -2a2b2 + -99 = 0

Reorder the terms:
-99 + -2a2b2 + a4b4 = 0

Solving
-99 + -2a2b2 + a4b4 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9 + -1a2b2)(11 + -1a2b2) = 0


Subproblem 1
Set the factor '(-9 + -1a2b2)' equal to zero and attempt to solve:

Simplifying
-9 + -1a2b2 = 0

Solving
-9 + -1a2b2 = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1a2b2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1a2b2 = 0 + 9
-1a2b2 = 0 + 9

Combine like terms: 0 + 9 = 9
-1a2b2 = 9

Divide each side by '-1b2'.
a2 = -9b-2

Simplifying
a2 = -9b-2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(11 + -1a2b2)' equal to zero and attempt to solve:

Simplifying
11 + -1a2b2 = 0

Solving
11 + -1a2b2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1a2b2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1a2b2 = 0 + -11
-1a2b2 = 0 + -11

Combine like terms: 0 + -11 = -11
-1a2b2 = -11

Divide each side by '-1b2'.
a2 = 11b-2

Simplifying
a2 = 11b-2

Take the square root of each side:
a = {-3.31662479b-1, 3.31662479b-1}
Solution
a = {-3.31662479b-1, 3.31662479b-1}

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