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Simplifying 4y2 + 11y + 121 = 0 Reorder the terms: 121 + 11y + 4y2 = 0 Solving 121 + 11y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 30.25 + 2.75y + y2 = 0 Move the constant term to the right: Add '-30.25' to each side of the equation. 30.25 + 2.75y + -30.25 + y2 = 0 + -30.25 Reorder the terms: 30.25 + -30.25 + 2.75y + y2 = 0 + -30.25 Combine like terms: 30.25 + -30.25 = 0.00 0.00 + 2.75y + y2 = 0 + -30.25 2.75y + y2 = 0 + -30.25 Combine like terms: 0 + -30.25 = -30.25 2.75y + y2 = -30.25 The y term is 2.75y. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75y + 1.890625 + y2 = -30.25 + 1.890625 Reorder the terms: 1.890625 + 2.75y + y2 = -30.25 + 1.890625 Combine like terms: -30.25 + 1.890625 = -28.359375 1.890625 + 2.75y + y2 = -28.359375 Factor a perfect square on the left side: (y + 1.375)(y + 1.375) = -28.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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