y^4=361

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Solution for y^4=361 equation:


Simplifying
y4 = 361

Solving
y4 = 361

Solving for variable 'y'.

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

Simplifying
y4 = 361

Reorder the terms:
-361 + y4 = 361 + -361

Combine like terms: 361 + -361 = 0
-361 + y4 = 0

Factor a difference between two squares.
(19 + y2)(-19 + y2) = 0

Subproblem 1

Set the factor '(19 + y2)' equal to zero and attempt to solve: Simplifying 19 + y2 = 0 Solving 19 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + y2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + y2 = 0 + -19 y2 = 0 + -19 Combine like terms: 0 + -19 = -19 y2 = -19 Simplifying y2 = -19 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 '(-19 + y2)' equal to zero and attempt to solve: Simplifying -19 + y2 = 0 Solving -19 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + y2 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + y2 = 0 + 19 y2 = 0 + 19 Combine like terms: 0 + 19 = 19 y2 = 19 Simplifying y2 = 19 Take the square root of each side: y = {-4.358898944, 4.358898944}

Solution

y = {-4.358898944, 4.358898944}

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