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Simplifying 245 + -41x + 2x2 = 0 Solving 245 + -41x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 122.5 + -20.5x + x2 = 0 Move the constant term to the right: Add '-122.5' to each side of the equation. 122.5 + -20.5x + -122.5 + x2 = 0 + -122.5 Reorder the terms: 122.5 + -122.5 + -20.5x + x2 = 0 + -122.5 Combine like terms: 122.5 + -122.5 = 0.0 0.0 + -20.5x + x2 = 0 + -122.5 -20.5x + x2 = 0 + -122.5 Combine like terms: 0 + -122.5 = -122.5 -20.5x + x2 = -122.5 The x term is -20.5x. Take half its coefficient (-10.25). Square it (105.0625) and add it to both sides. Add '105.0625' to each side of the equation. -20.5x + 105.0625 + x2 = -122.5 + 105.0625 Reorder the terms: 105.0625 + -20.5x + x2 = -122.5 + 105.0625 Combine like terms: -122.5 + 105.0625 = -17.4375 105.0625 + -20.5x + x2 = -17.4375 Factor a perfect square on the left side: (x + -10.25)(x + -10.25) = -17.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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