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Simplifying 0 = x2 + -13x + 169 Reorder the terms: 0 = 169 + -13x + x2 Solving 0 = 169 + -13x + x2 Solving for variable 'x'. Combine like terms: 0 + -169 = -169 -169 + 13x + -1x2 = 169 + -13x + x2 + -169 + 13x + -1x2 Reorder the terms: -169 + 13x + -1x2 = 169 + -169 + -13x + 13x + x2 + -1x2 Combine like terms: 169 + -169 = 0 -169 + 13x + -1x2 = 0 + -13x + 13x + x2 + -1x2 -169 + 13x + -1x2 = -13x + 13x + x2 + -1x2 Combine like terms: -13x + 13x = 0 -169 + 13x + -1x2 = 0 + x2 + -1x2 -169 + 13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -169 + 13x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 169 + -13x + x2 = 0 Move the constant term to the right: Add '-169' to each side of the equation. 169 + -13x + -169 + x2 = 0 + -169 Reorder the terms: 169 + -169 + -13x + x2 = 0 + -169 Combine like terms: 169 + -169 = 0 0 + -13x + x2 = 0 + -169 -13x + x2 = 0 + -169 Combine like terms: 0 + -169 = -169 -13x + x2 = -169 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -169 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -169 + 42.25 Combine like terms: -169 + 42.25 = -126.75 42.25 + -13x + x2 = -126.75 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = -126.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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