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Simplifying 1.25x2 + -4x + 11 = 0 Reorder the terms: 11 + -4x + 1.25x2 = 0 Solving 11 + -4x + 1.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.25 the coefficient of the squared term: Divide each side by '1.25'. 8.8 + -3.2x + x2 = 0 Move the constant term to the right: Add '-8.8' to each side of the equation. 8.8 + -3.2x + -8.8 + x2 = 0 + -8.8 Reorder the terms: 8.8 + -8.8 + -3.2x + x2 = 0 + -8.8 Combine like terms: 8.8 + -8.8 = 0.0 0.0 + -3.2x + x2 = 0 + -8.8 -3.2x + x2 = 0 + -8.8 Combine like terms: 0 + -8.8 = -8.8 -3.2x + x2 = -8.8 The x term is -3.2x. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2x + 2.56 + x2 = -8.8 + 2.56 Reorder the terms: 2.56 + -3.2x + x2 = -8.8 + 2.56 Combine like terms: -8.8 + 2.56 = -6.24 2.56 + -3.2x + x2 = -6.24 Factor a perfect square on the left side: (x + -1.6)(x + -1.6) = -6.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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