169-y^4=0

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Solution for 169-y^4=0 equation:


Simplifying
169 + -1y4 = 0

Solving
169 + -1y4 = 0

Solving for variable 'y'.

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

Add '-169' to each side of the equation.
169 + -169 + -1y4 = 0 + -169

Combine like terms: 169 + -169 = 0
0 + -1y4 = 0 + -169
-1y4 = 0 + -169

Combine like terms: 0 + -169 = -169
-1y4 = -169

Divide each side by '-1'.
y4 = 169

Simplifying
y4 = 169

Reorder the terms:
-169 + y4 = 169 + -169

Combine like terms: 169 + -169 = 0
-169 + y4 = 0

Factor a difference between two squares.
(13 + y2)(-13 + y2) = 0

Subproblem 1

Set the factor '(13 + y2)' equal to zero and attempt to solve: Simplifying 13 + y2 = 0 Solving 13 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + y2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + y2 = 0 + -13 y2 = 0 + -13 Combine like terms: 0 + -13 = -13 y2 = -13 Simplifying y2 = -13 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 '(-13 + y2)' equal to zero and attempt to solve: Simplifying -13 + y2 = 0 Solving -13 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + y2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + y2 = 0 + 13 y2 = 0 + 13 Combine like terms: 0 + 13 = 13 y2 = 13 Simplifying y2 = 13 Take the square root of each side: y = {-3.605551275, 3.605551275}

Solution

y = {-3.605551275, 3.605551275}

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