s^4-2401=0

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Solution for s^4-2401=0 equation:


Simplifying
s4 + -2401 = 0

Reorder the terms:
-2401 + s4 = 0

Solving
-2401 + s4 = 0

Solving for variable 's'.

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

Add '2401' to each side of the equation.
-2401 + 2401 + s4 = 0 + 2401

Combine like terms: -2401 + 2401 = 0
0 + s4 = 0 + 2401
s4 = 0 + 2401

Combine like terms: 0 + 2401 = 2401
s4 = 2401

Simplifying
s4 = 2401

Reorder the terms:
-2401 + s4 = 2401 + -2401

Combine like terms: 2401 + -2401 = 0
-2401 + s4 = 0

Factor a difference between two squares.
(49 + s2)(-49 + s2) = 0

Factor a difference between two squares.
(49 + s2)((7 + s)(-7 + s)) = 0

Subproblem 1

Set the factor '(49 + s2)' equal to zero and attempt to solve: Simplifying 49 + s2 = 0 Solving 49 + s2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + s2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + s2 = 0 + -49 s2 = 0 + -49 Combine like terms: 0 + -49 = -49 s2 = -49 Simplifying s2 = -49 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 '(7 + s)' equal to zero and attempt to solve: Simplifying 7 + s = 0 Solving 7 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + s = 0 + -7 s = 0 + -7 Combine like terms: 0 + -7 = -7 s = -7 Simplifying s = -7

Subproblem 3

Set the factor '(-7 + s)' equal to zero and attempt to solve: Simplifying -7 + s = 0 Solving -7 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + s = 0 + 7 s = 0 + 7 Combine like terms: 0 + 7 = 7 s = 7 Simplifying s = 7

Solution

s = {-7, 7}

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