x^4-6x^2+9=4

Solution for x^4-6x^2+9=4 equation:

Simplifying
x4 + -6x2 + 9 = 4

Reorder the terms:
9 + -6x2 + x4 = 4

Solving
9 + -6x2 + x4 = 4

Solving for variable 'x'.

Reorder the terms:
9 + -4 + -6x2 + x4 = 4 + -4

Combine like terms: 9 + -4 = 5
5 + -6x2 + x4 = 4 + -4

Combine like terms: 4 + -4 = 0
5 + -6x2 + x4 = 0

Factor a trinomial.
(1 + -1x2)(5 + -1x2) = 0

Factor a difference between two squares.
((1 + x)(1 + -1x))(5 + -1x2) = 0

Subproblem 1
Set the factor '(5 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-2.236067978, 2.236067978, -1, 1}