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Simplifying 4.9t2 + -10t + 84 = 0 Reorder the terms: 84 + -10t + 4.9t2 = 0 Solving 84 + -10t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 17.14285714 + -2.040816327t + t2 = 0 Move the constant term to the right: Add '-17.14285714' to each side of the equation. 17.14285714 + -2.040816327t + -17.14285714 + t2 = 0 + -17.14285714 Reorder the terms: 17.14285714 + -17.14285714 + -2.040816327t + t2 = 0 + -17.14285714 Combine like terms: 17.14285714 + -17.14285714 = 0.00000000 0.00000000 + -2.040816327t + t2 = 0 + -17.14285714 -2.040816327t + t2 = 0 + -17.14285714 Combine like terms: 0 + -17.14285714 = -17.14285714 -2.040816327t + t2 = -17.14285714 The t term is -2.040816327t. Take half its coefficient (-1.020408164). Square it (1.041232821) and add it to both sides. Add '1.041232821' to each side of the equation. -2.040816327t + 1.041232821 + t2 = -17.14285714 + 1.041232821 Reorder the terms: 1.041232821 + -2.040816327t + t2 = -17.14285714 + 1.041232821 Combine like terms: -17.14285714 + 1.041232821 = -16.101624319 1.041232821 + -2.040816327t + t2 = -16.101624319 Factor a perfect square on the left side: (t + -1.020408164)(t + -1.020408164) = -16.101624319 Can't calculate square root of the right side. The solution to this equation could not be determined.
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