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Simplifying 4r2 + -6r + 11 = 0 Reorder the terms: 11 + -6r + 4r2 = 0 Solving 11 + -6r + 4r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -1.5r + r2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -1.5r + -2.75 + r2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -1.5r + r2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -1.5r + r2 = 0 + -2.75 -1.5r + r2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -1.5r + r2 = -2.75 The r term is -1.5r. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5r + 0.5625 + r2 = -2.75 + 0.5625 Reorder the terms: 0.5625 + -1.5r + r2 = -2.75 + 0.5625 Combine like terms: -2.75 + 0.5625 = -2.1875 0.5625 + -1.5r + r2 = -2.1875 Factor a perfect square on the left side: (r + -0.75)(r + -0.75) = -2.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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