x^4-22x^2-23=0

Solution for x^4-22x^2-23=0 equation:

Simplifying
x4 + -22x2 + -23 = 0

Reorder the terms:
-23 + -22x2 + x4 = 0

Solving
-23 + -22x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x2)(23 + -1x2) = 0

Subproblem 1
Set the factor '(-1 + -1x2)' equal to zero and attempt to solve:

Simplifying
-1 + -1x2 = 0

Solving
-1 + -1x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x2 = 0 + 1
-1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1x2 = 1

Divide each side by '-1'.
x2 = -1

Simplifying
x2 = -1

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 '(23 + -1x2)' equal to zero and attempt to solve:

Simplifying
23 + -1x2 = 0

Solving
23 + -1x2 = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x2 = 0 + -23
-1x2 = 0 + -23

Combine like terms: 0 + -23 = -23
-1x2 = -23

Divide each side by '-1'.
x2 = 23

Simplifying
x2 = 23

Take the square root of each side:
x = {-4.795831523, 4.795831523}
Solution
x = {-4.795831523, 4.795831523}