x^4-2x^2-2=2

Solution for x^4-2x^2-2=2 equation:

Simplifying
x4 + -2x2 + -2 = 2

Reorder the terms:
-2 + -2x2 + x4 = 2

Solving
-2 + -2x2 + x4 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + -2 + -2x2 + x4 = 2 + -2

Combine like terms: -2 + -2 = -4
-4 + -2x2 + x4 = 2 + -2

Combine like terms: 2 + -2 = 0
-4 + -2x2 + x4 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -2x2 + 4 + x4 = 0 + 4

Reorder the terms:
-4 + 4 + -2x2 + x4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2x2 + x4 = 0 + 4
-2x2 + x4 = 0 + 4

Combine like terms: 0 + 4 = 4
-2x2 + x4 = 4

The x term is -2x2.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x2 + 1 + x4 = 4 + 1

Reorder the terms:
1 + -2x2 + x4 = 4 + 1

Combine like terms: 4 + 1 = 5
1 + -2x2 + x4 = 5

Factor a perfect square on the left side:
(x2 + -1)(x2 + -1) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(x2 + -1) equal to 2.236067978 and -2.236067978.

Subproblem 1
x2 + -1 = 2.236067978

Simplifying
x2 + -1 = 2.236067978

Reorder the terms:
-1 + x2 = 2.236067978

Solving
-1 + x2 = 2.236067978

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = 2.236067978 + 1

Combine like terms: -1 + 1 = 0
0 + x2 = 2.236067978 + 1
x2 = 2.236067978 + 1

Combine like terms: 2.236067978 + 1 = 3.236067978
x2 = 3.236067978

Simplifying
x2 = 3.236067978

Take the square root of each side:
x = {-1.79890744, 1.79890744}

Subproblem 2
x2 + -1 = -2.236067978

Simplifying
x2 + -1 = -2.236067978

Reorder the terms:
-1 + x2 = -2.236067978

Solving
-1 + x2 = -2.236067978

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = -2.236067978 + 1

Combine like terms: -1 + 1 = 0
0 + x2 = -2.236067978 + 1
x2 = -2.236067978 + 1

Combine like terms: -2.236067978 + 1 = -1.236067978
x2 = -1.236067978

Simplifying
x2 = -1.236067978

Reorder the terms:
1.236067978 + x2 = -1.236067978 + 1.236067978

Combine like terms: -1.236067978 + 1.236067978 = 0.000000000
1.236067978 + x2 = 0.000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.