12=a^4-11a^2

Solution for 12=a^4-11a^2 equation:

Simplifying
12 = a4 + -11a2

Reorder the terms:
12 = -11a2 + a4

Solving
12 = -11a2 + a4

Solving for variable 'a'.

Reorder the terms:
12 + 11a2 + -1a4 = -11a2 + 11a2 + a4 + -1a4

Combine like terms: -11a2 + 11a2 = 0
12 + 11a2 + -1a4 = 0 + a4 + -1a4
12 + 11a2 + -1a4 = a4 + -1a4

Combine like terms: a4 + -1a4 = 0
12 + 11a2 + -1a4 = 0

Factor a trinomial.
(12 + -1a2)(1 + a2) = 0

Subproblem 1
Set the factor '(12 + -1a2)' equal to zero and attempt to solve:

Simplifying
12 + -1a2 = 0

Solving
12 + -1a2 = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1a2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1a2 = 0 + -12
-1a2 = 0 + -12

Combine like terms: 0 + -12 = -12
-1a2 = -12

Divide each side by '-1'.
a2 = 12

Simplifying
a2 = 12

Take the square root of each side:
a = {-3.464101615, 3.464101615}
Subproblem 2
Set the factor '(1 + a2)' equal to zero and attempt to solve:

Simplifying
1 + a2 = 0

Solving
1 + a2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + a2 = 0 + -1

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

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

Simplifying
a2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {-3.464101615, 3.464101615}