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Simplifying 2a2 + -11a + 17 = 0 Reorder the terms: 17 + -11a + 2a2 = 0 Solving 17 + -11a + 2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 8.5 + -5.5a + a2 = 0 Move the constant term to the right: Add '-8.5' to each side of the equation. 8.5 + -5.5a + -8.5 + a2 = 0 + -8.5 Reorder the terms: 8.5 + -8.5 + -5.5a + a2 = 0 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -5.5a + a2 = 0 + -8.5 -5.5a + a2 = 0 + -8.5 Combine like terms: 0 + -8.5 = -8.5 -5.5a + a2 = -8.5 The a term is -5.5a. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5a + 7.5625 + a2 = -8.5 + 7.5625 Reorder the terms: 7.5625 + -5.5a + a2 = -8.5 + 7.5625 Combine like terms: -8.5 + 7.5625 = -0.9375 7.5625 + -5.5a + a2 = -0.9375 Factor a perfect square on the left side: (a + -2.75)(a + -2.75) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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