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Simplifying 1 = x2 + -5x + 9 Reorder the terms: 1 = 9 + -5x + x2 Solving 1 = 9 + -5x + x2 Solving for variable 'x'. Combine like terms: 1 + -9 = -8 -8 + 5x + -1x2 = 9 + -5x + x2 + -9 + 5x + -1x2 Reorder the terms: -8 + 5x + -1x2 = 9 + -9 + -5x + 5x + x2 + -1x2 Combine like terms: 9 + -9 = 0 -8 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2 -8 + 5x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -8 + 5x + -1x2 = 0 + x2 + -1x2 -8 + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -5x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x + x2 = 0 + -8 -5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5x + x2 = -8 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -8 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + -5x + x2 = -1.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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