x^4-900=0

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Solution for x^4-900=0 equation:


Simplifying
x4 + -900 = 0

Reorder the terms:
-900 + x4 = 0

Solving
-900 + x4 = 0

Solving for variable 'x'.

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

Add '900' to each side of the equation.
-900 + 900 + x4 = 0 + 900

Combine like terms: -900 + 900 = 0
0 + x4 = 0 + 900
x4 = 0 + 900

Combine like terms: 0 + 900 = 900
x4 = 900

Simplifying
x4 = 900

Reorder the terms:
-900 + x4 = 900 + -900

Combine like terms: 900 + -900 = 0
-900 + x4 = 0

Factor a difference between two squares.
(30 + x2)(-30 + x2) = 0

Subproblem 1

Set the factor '(30 + x2)' equal to zero and attempt to solve: Simplifying 30 + x2 = 0 Solving 30 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x2 = 0 + -30 x2 = 0 + -30 Combine like terms: 0 + -30 = -30 x2 = -30 Simplifying x2 = -30 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 '(-30 + x2)' equal to zero and attempt to solve: Simplifying -30 + x2 = 0 Solving -30 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x2 = 0 + 30 x2 = 0 + 30 Combine like terms: 0 + 30 = 30 x2 = 30 Simplifying x2 = 30 Take the square root of each side: x = {-5.477225575, 5.477225575}

Solution

x = {-5.477225575, 5.477225575}

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