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Simplifying 103.516 = -16t2 + 79t + 6 Reorder the terms: 103.516 = 6 + 79t + -16t2 Solving 103.516 = 6 + 79t + -16t2 Solving for variable 't'. Combine like terms: 103.516 + -6 = 97.516 97.516 + -79t + 16t2 = 6 + 79t + -16t2 + -6 + -79t + 16t2 Reorder the terms: 97.516 + -79t + 16t2 = 6 + -6 + 79t + -79t + -16t2 + 16t2 Combine like terms: 6 + -6 = 0 97.516 + -79t + 16t2 = 0 + 79t + -79t + -16t2 + 16t2 97.516 + -79t + 16t2 = 79t + -79t + -16t2 + 16t2 Combine like terms: 79t + -79t = 0 97.516 + -79t + 16t2 = 0 + -16t2 + 16t2 97.516 + -79t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 97.516 + -79t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 6.09475 + -4.9375t + t2 = 0 Move the constant term to the right: Add '-6.09475' to each side of the equation. 6.09475 + -4.9375t + -6.09475 + t2 = 0 + -6.09475 Reorder the terms: 6.09475 + -6.09475 + -4.9375t + t2 = 0 + -6.09475 Combine like terms: 6.09475 + -6.09475 = 0.00000 0.00000 + -4.9375t + t2 = 0 + -6.09475 -4.9375t + t2 = 0 + -6.09475 Combine like terms: 0 + -6.09475 = -6.09475 -4.9375t + t2 = -6.09475 The t term is -4.9375t. Take half its coefficient (-2.46875). Square it (6.094726563) and add it to both sides. Add '6.094726563' to each side of the equation. -4.9375t + 6.094726563 + t2 = -6.09475 + 6.094726563 Reorder the terms: 6.094726563 + -4.9375t + t2 = -6.09475 + 6.094726563 Combine like terms: -6.09475 + 6.094726563 = -0.000023437 6.094726563 + -4.9375t + t2 = -0.000023437 Factor a perfect square on the left side: (t + -2.46875)(t + -2.46875) = -0.000023437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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