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Simplifying y = 8y2 + 91 Reorder the terms: y = 91 + 8y2 Solving y = 91 + 8y2 Solving for variable 'y'. Reorder the terms: -91 + y + -8y2 = 91 + 8y2 + -91 + -8y2 Reorder the terms: -91 + y + -8y2 = 91 + -91 + 8y2 + -8y2 Combine like terms: 91 + -91 = 0 -91 + y + -8y2 = 0 + 8y2 + -8y2 -91 + y + -8y2 = 8y2 + -8y2 Combine like terms: 8y2 + -8y2 = 0 -91 + y + -8y2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 11.375 + -0.125y + y2 = 0 Move the constant term to the right: Add '-11.375' to each side of the equation. 11.375 + -0.125y + -11.375 + y2 = 0 + -11.375 Reorder the terms: 11.375 + -11.375 + -0.125y + y2 = 0 + -11.375 Combine like terms: 11.375 + -11.375 = 0.000 0.000 + -0.125y + y2 = 0 + -11.375 -0.125y + y2 = 0 + -11.375 Combine like terms: 0 + -11.375 = -11.375 -0.125y + y2 = -11.375 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.125y + 0.25 + y2 = -11.375 + 0.25 Reorder the terms: 0.25 + -0.125y + y2 = -11.375 + 0.25 Combine like terms: -11.375 + 0.25 = -11.125 0.25 + -0.125y + y2 = -11.125 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -11.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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