11y=y^3

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Solution for 11y=y^3 equation:


Simplifying
11y = y3

Solving
11y = y3

Solving for variable 'y'.

Combine like terms: y3 + -1y3 = 0
11y + -1y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(11 + -1y2) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(11 + -1y2)' equal to zero and attempt to solve: Simplifying 11 + -1y2 = 0 Solving 11 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1y2 = 0 + -11 -1y2 = 0 + -11 Combine like terms: 0 + -11 = -11 -1y2 = -11 Divide each side by '-1'. y2 = 11 Simplifying y2 = 11 Take the square root of each side: y = {-3.31662479, 3.31662479}

Solution

y = {0, -3.31662479, 3.31662479}

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