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Simplifying y2 = 22y + -121 Reorder the terms: y2 = -121 + 22y Solving y2 = -121 + 22y Solving for variable 'y'. Reorder the terms: 121 + -22y + y2 = -121 + 22y + 121 + -22y Reorder the terms: 121 + -22y + y2 = -121 + 121 + 22y + -22y Combine like terms: -121 + 121 = 0 121 + -22y + y2 = 0 + 22y + -22y 121 + -22y + y2 = 22y + -22y Combine like terms: 22y + -22y = 0 121 + -22y + y2 = 0 Factor a trinomial. (11 + -1y)(11 + -1y) = 0Subproblem 1
Set the factor '(11 + -1y)' equal to zero and attempt to solve: Simplifying 11 + -1y = 0 Solving 11 + -1y = 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 + -1y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1y = 0 + -11 -1y = 0 + -11 Combine like terms: 0 + -11 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11Subproblem 2
Set the factor '(11 + -1y)' equal to zero and attempt to solve: Simplifying 11 + -1y = 0 Solving 11 + -1y = 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 + -1y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1y = 0 + -11 -1y = 0 + -11 Combine like terms: 0 + -11 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11Solution
y = {11, 11}
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