X^4+x^2-2=

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


Simplifying
X4 + x2 + -2 = 0

Reorder the terms:
-2 + X4 + x2 = 0

Solving
-2 + X4 + x2 = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X4 + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + X4 + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X4 + x2 = 0 + 2
X4 + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
X4 + x2 = 2

Add '-1x2' to each side of the equation.
X4 + x2 + -1x2 = 2 + -1x2

Combine like terms: x2 + -1x2 = 0
X4 + 0 = 2 + -1x2
X4 = 2 + -1x2

Simplifying
X4 = 2 + -1x2

Reorder the terms:
-2 + X4 + x2 = 2 + -1x2 + -2 + x2

Reorder the terms:
-2 + X4 + x2 = 2 + -2 + -1x2 + x2

Combine like terms: 2 + -2 = 0
-2 + X4 + x2 = 0 + -1x2 + x2
-2 + X4 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2 + X4 + x2 = 0

Factor a trinomial.
(X2 + -1x)(X2 + -1x) = 0

Subproblem 1

Set the factor '(X2 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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 '(X2 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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.

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