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Simplifying 4.905t2 + -5.13t + 16 = 0 Reorder the terms: 16 + -5.13t + 4.905t2 = 0 Solving 16 + -5.13t + 4.905t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.905 the coefficient of the squared term: Divide each side by '4.905'. 3.261977574 + -1.04587156t + t2 = 0 Move the constant term to the right: Add '-3.261977574' to each side of the equation. 3.261977574 + -1.04587156t + -3.261977574 + t2 = 0 + -3.261977574 Reorder the terms: 3.261977574 + -3.261977574 + -1.04587156t + t2 = 0 + -3.261977574 Combine like terms: 3.261977574 + -3.261977574 = 0.000000000 0.000000000 + -1.04587156t + t2 = 0 + -3.261977574 -1.04587156t + t2 = 0 + -3.261977574 Combine like terms: 0 + -3.261977574 = -3.261977574 -1.04587156t + t2 = -3.261977574 The t term is -1.04587156t. Take half its coefficient (-0.52293578). Square it (0.2734618300) and add it to both sides. Add '0.2734618300' to each side of the equation. -1.04587156t + 0.2734618300 + t2 = -3.261977574 + 0.2734618300 Reorder the terms: 0.2734618300 + -1.04587156t + t2 = -3.261977574 + 0.2734618300 Combine like terms: -3.261977574 + 0.2734618300 = -2.988515744 0.2734618300 + -1.04587156t + t2 = -2.988515744 Factor a perfect square on the left side: (t + -0.52293578)(t + -0.52293578) = -2.988515744 Can't calculate square root of the right side. The solution to this equation could not be determined.
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