s^4-289=0

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Solution for s^4-289=0 equation:


Simplifying
s4 + -289 = 0

Reorder the terms:
-289 + s4 = 0

Solving
-289 + s4 = 0

Solving for variable 's'.

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

Add '289' to each side of the equation.
-289 + 289 + s4 = 0 + 289

Combine like terms: -289 + 289 = 0
0 + s4 = 0 + 289
s4 = 0 + 289

Combine like terms: 0 + 289 = 289
s4 = 289

Simplifying
s4 = 289

Reorder the terms:
-289 + s4 = 289 + -289

Combine like terms: 289 + -289 = 0
-289 + s4 = 0

Factor a difference between two squares.
(17 + s2)(-17 + s2) = 0

Subproblem 1

Set the factor '(17 + s2)' equal to zero and attempt to solve: Simplifying 17 + s2 = 0 Solving 17 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + s2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + s2 = 0 + -17 s2 = 0 + -17 Combine like terms: 0 + -17 = -17 s2 = -17 Simplifying s2 = -17 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 '(-17 + s2)' equal to zero and attempt to solve: Simplifying -17 + s2 = 0 Solving -17 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + s2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + s2 = 0 + 17 s2 = 0 + 17 Combine like terms: 0 + 17 = 17 s2 = 17 Simplifying s2 = 17 Take the square root of each side: s = {-4.123105626, 4.123105626}

Solution

s = {-4.123105626, 4.123105626}

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