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Simplifying 159.5 = -50t2 + 160t Reorder the terms: 159.5 = 160t + -50t2 Solving 159.5 = 160t + -50t2 Solving for variable 't'. Reorder the terms: 159.5 + -160t + 50t2 = 160t + -160t + -50t2 + 50t2 Combine like terms: 160t + -160t = 0 159.5 + -160t + 50t2 = 0 + -50t2 + 50t2 159.5 + -160t + 50t2 = -50t2 + 50t2 Combine like terms: -50t2 + 50t2 = 0 159.5 + -160t + 50t2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 3.19 + -3.2t + t2 = 0 Move the constant term to the right: Add '-3.19' to each side of the equation. 3.19 + -3.2t + -3.19 + t2 = 0 + -3.19 Reorder the terms: 3.19 + -3.19 + -3.2t + t2 = 0 + -3.19 Combine like terms: 3.19 + -3.19 = 0.00 0.00 + -3.2t + t2 = 0 + -3.19 -3.2t + t2 = 0 + -3.19 Combine like terms: 0 + -3.19 = -3.19 -3.2t + t2 = -3.19 The t term is -3.2t. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2t + 2.56 + t2 = -3.19 + 2.56 Reorder the terms: 2.56 + -3.2t + t2 = -3.19 + 2.56 Combine like terms: -3.19 + 2.56 = -0.63 2.56 + -3.2t + t2 = -0.63 Factor a perfect square on the left side: (t + -1.6)(t + -1.6) = -0.63 Can't calculate square root of the right side. The solution to this equation could not be determined.
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