y^4-225=0

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Solution for y^4-225=0 equation:


Simplifying
y4 + -225 = 0

Reorder the terms:
-225 + y4 = 0

Solving
-225 + y4 = 0

Solving for variable 'y'.

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

Add '225' to each side of the equation.
-225 + 225 + y4 = 0 + 225

Combine like terms: -225 + 225 = 0
0 + y4 = 0 + 225
y4 = 0 + 225

Combine like terms: 0 + 225 = 225
y4 = 225

Simplifying
y4 = 225

Reorder the terms:
-225 + y4 = 225 + -225

Combine like terms: 225 + -225 = 0
-225 + y4 = 0

Factor a difference between two squares.
(15 + y2)(-15 + y2) = 0

Subproblem 1

Set the factor '(15 + y2)' equal to zero and attempt to solve: Simplifying 15 + y2 = 0 Solving 15 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + y2 = 0 + -15 y2 = 0 + -15 Combine like terms: 0 + -15 = -15 y2 = -15 Simplifying y2 = -15 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 '(-15 + y2)' equal to zero and attempt to solve: Simplifying -15 + y2 = 0 Solving -15 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + y2 = 0 + 15 y2 = 0 + 15 Combine like terms: 0 + 15 = 15 y2 = 15 Simplifying y2 = 15 Take the square root of each side: y = {-3.872983346, 3.872983346}

Solution

y = {-3.872983346, 3.872983346}

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