s^4-36=0

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Solution for s^4-36=0 equation:


Simplifying
s4 + -36 = 0

Reorder the terms:
-36 + s4 = 0

Solving
-36 + s4 = 0

Solving for variable 's'.

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

Add '36' to each side of the equation.
-36 + 36 + s4 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + s4 = 0 + 36
s4 = 0 + 36

Combine like terms: 0 + 36 = 36
s4 = 36

Simplifying
s4 = 36

Reorder the terms:
-36 + s4 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + s4 = 0

Factor a difference between two squares.
(6 + s2)(-6 + s2) = 0

Subproblem 1

Set the factor '(6 + s2)' equal to zero and attempt to solve: Simplifying 6 + s2 = 0 Solving 6 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + s2 = 0 + -6 s2 = 0 + -6 Combine like terms: 0 + -6 = -6 s2 = -6 Simplifying s2 = -6 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 '(-6 + s2)' equal to zero and attempt to solve: Simplifying -6 + s2 = 0 Solving -6 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + s2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + s2 = 0 + 6 s2 = 0 + 6 Combine like terms: 0 + 6 = 6 s2 = 6 Simplifying s2 = 6 Take the square root of each side: s = {-2.449489743, 2.449489743}

Solution

s = {-2.449489743, 2.449489743}

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