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Simplifying 11k2 + 10 = 4k Reorder the terms: 10 + 11k2 = 4k Solving 10 + 11k2 = 4k Solving for variable 'k'. Reorder the terms: 10 + -4k + 11k2 = 4k + -4k Combine like terms: 4k + -4k = 0 10 + -4k + 11k2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.9090909091 + -0.3636363636k + k2 = 0 Move the constant term to the right: Add '-0.9090909091' to each side of the equation. 0.9090909091 + -0.3636363636k + -0.9090909091 + k2 = 0 + -0.9090909091 Reorder the terms: 0.9090909091 + -0.9090909091 + -0.3636363636k + k2 = 0 + -0.9090909091 Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000 0.0000000000 + -0.3636363636k + k2 = 0 + -0.9090909091 -0.3636363636k + k2 = 0 + -0.9090909091 Combine like terms: 0 + -0.9090909091 = -0.9090909091 -0.3636363636k + k2 = -0.9090909091 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 = -0.9090909091 + 0.03305785123 Reorder the terms: 0.03305785123 + -0.3636363636k + k2 = -0.9090909091 + 0.03305785123 Combine like terms: -0.9090909091 + 0.03305785123 = -0.87603305787 0.03305785123 + -0.3636363636k + k2 = -0.87603305787 Factor a perfect square on the left side: (k + -0.1818181818)(k + -0.1818181818) = -0.87603305787 Can't calculate square root of the right side. The solution to this equation could not be determined.
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