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Simplifying 11k2 = -4k + -11 Reorder the terms: 11k2 = -11 + -4k Solving 11k2 = -11 + -4k Solving for variable 'k'. Reorder the terms: 11 + 4k + 11k2 = -11 + -4k + 11 + 4k Reorder the terms: 11 + 4k + 11k2 = -11 + 11 + -4k + 4k Combine like terms: -11 + 11 = 0 11 + 4k + 11k2 = 0 + -4k + 4k 11 + 4k + 11k2 = -4k + 4k Combine like terms: -4k + 4k = 0 11 + 4k + 11k2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1 + 0.3636363636k + k2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.3636363636k + -1 + k2 = 0 + -1 Reorder the terms: 1 + -1 + 0.3636363636k + k2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.3636363636k + k2 = 0 + -1 0.3636363636k + k2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.3636363636k + k2 = -1 The k term is 0.3636363636k. Take half its coefficient (0.1818181818). Square it (0.03305785123) and add it to both sides. Add '0.03305785123' to each side of the equation. 0.3636363636k + 0.03305785123 + k2 = -1 + 0.03305785123 Reorder the terms: 0.03305785123 + 0.3636363636k + k2 = -1 + 0.03305785123 Combine like terms: -1 + 0.03305785123 = -0.96694214877 0.03305785123 + 0.3636363636k + k2 = -0.96694214877 Factor a perfect square on the left side: (k + 0.1818181818)(k + 0.1818181818) = -0.96694214877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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