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Simplifying 0 = -4.9t2 + 11t + -92 Reorder the terms: 0 = -92 + 11t + -4.9t2 Solving 0 = -92 + 11t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + 92 = 92 92 + -11t + 4.9t2 = -92 + 11t + -4.9t2 + 92 + -11t + 4.9t2 Reorder the terms: 92 + -11t + 4.9t2 = -92 + 92 + 11t + -11t + -4.9t2 + 4.9t2 Combine like terms: -92 + 92 = 0 92 + -11t + 4.9t2 = 0 + 11t + -11t + -4.9t2 + 4.9t2 92 + -11t + 4.9t2 = 11t + -11t + -4.9t2 + 4.9t2 Combine like terms: 11t + -11t = 0 92 + -11t + 4.9t2 = 0 + -4.9t2 + 4.9t2 92 + -11t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 92 + -11t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 18.7755102 + -2.244897959t + t2 = 0 Move the constant term to the right: Add '-18.7755102' to each side of the equation. 18.7755102 + -2.244897959t + -18.7755102 + t2 = 0 + -18.7755102 Reorder the terms: 18.7755102 + -18.7755102 + -2.244897959t + t2 = 0 + -18.7755102 Combine like terms: 18.7755102 + -18.7755102 = 0.0000000 0.0000000 + -2.244897959t + t2 = 0 + -18.7755102 -2.244897959t + t2 = 0 + -18.7755102 Combine like terms: 0 + -18.7755102 = -18.7755102 -2.244897959t + t2 = -18.7755102 The t term is -2.244897959t. Take half its coefficient (-1.12244898). Square it (1.259891713) and add it to both sides. Add '1.259891713' to each side of the equation. -2.244897959t + 1.259891713 + t2 = -18.7755102 + 1.259891713 Reorder the terms: 1.259891713 + -2.244897959t + t2 = -18.7755102 + 1.259891713 Combine like terms: -18.7755102 + 1.259891713 = -17.515618487 1.259891713 + -2.244897959t + t2 = -17.515618487 Factor a perfect square on the left side: (t + -1.12244898)(t + -1.12244898) = -17.515618487 Can't calculate square root of the right side. The solution to this equation could not be determined.
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