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Simplifying 9k2 + -17k + 20 = 0 Reorder the terms: 20 + -17k + 9k2 = 0 Solving 20 + -17k + 9k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.222222222 + -1.888888889k + k2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + -1.888888889k + -2.222222222 + k2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + -1.888888889k + k2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + -1.888888889k + k2 = 0 + -2.222222222 -1.888888889k + k2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 -1.888888889k + k2 = -2.222222222 The k term is -1.888888889k. Take half its coefficient (-0.9444444445). Square it (0.8919753087) and add it to both sides. Add '0.8919753087' to each side of the equation. -1.888888889k + 0.8919753087 + k2 = -2.222222222 + 0.8919753087 Reorder the terms: 0.8919753087 + -1.888888889k + k2 = -2.222222222 + 0.8919753087 Combine like terms: -2.222222222 + 0.8919753087 = -1.3302469133 0.8919753087 + -1.888888889k + k2 = -1.3302469133 Factor a perfect square on the left side: (k + -0.9444444445)(k + -0.9444444445) = -1.3302469133 Can't calculate square root of the right side. The solution to this equation could not be determined.
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