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Simplifying 11k2 + -14k + 16 = 0 Reorder the terms: 16 + -14k + 11k2 = 0 Solving 16 + -14k + 11k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1.454545455 + -1.272727273k + k2 = 0 Move the constant term to the right: Add '-1.454545455' to each side of the equation. 1.454545455 + -1.272727273k + -1.454545455 + k2 = 0 + -1.454545455 Reorder the terms: 1.454545455 + -1.454545455 + -1.272727273k + k2 = 0 + -1.454545455 Combine like terms: 1.454545455 + -1.454545455 = 0.000000000 0.000000000 + -1.272727273k + k2 = 0 + -1.454545455 -1.272727273k + k2 = 0 + -1.454545455 Combine like terms: 0 + -1.454545455 = -1.454545455 -1.272727273k + k2 = -1.454545455 The k term is -1.272727273k. Take half its coefficient (-0.6363636365). Square it (0.4049586779) and add it to both sides. Add '0.4049586779' to each side of the equation. -1.272727273k + 0.4049586779 + k2 = -1.454545455 + 0.4049586779 Reorder the terms: 0.4049586779 + -1.272727273k + k2 = -1.454545455 + 0.4049586779 Combine like terms: -1.454545455 + 0.4049586779 = -1.0495867771 0.4049586779 + -1.272727273k + k2 = -1.0495867771 Factor a perfect square on the left side: (k + -0.6363636365)(k + -0.6363636365) = -1.0495867771 Can't calculate square root of the right side. The solution to this equation could not be determined.
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