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Simplifying -4.9t2 + 10t + 2 = 8 Reorder the terms: 2 + 10t + -4.9t2 = 8 Solving 2 + 10t + -4.9t2 = 8 Solving for variable 't'. Reorder the terms: 2 + -8 + 10t + -4.9t2 = 8 + -8 Combine like terms: 2 + -8 = -6 -6 + 10t + -4.9t2 = 8 + -8 Combine like terms: 8 + -8 = 0 -6 + 10t + -4.9t2 = 0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 1.224489796 + -2.040816327t + t2 = 0 Move the constant term to the right: Add '-1.224489796' to each side of the equation. 1.224489796 + -2.040816327t + -1.224489796 + t2 = 0 + -1.224489796 Reorder the terms: 1.224489796 + -1.224489796 + -2.040816327t + t2 = 0 + -1.224489796 Combine like terms: 1.224489796 + -1.224489796 = 0.000000000 0.000000000 + -2.040816327t + t2 = 0 + -1.224489796 -2.040816327t + t2 = 0 + -1.224489796 Combine like terms: 0 + -1.224489796 = -1.224489796 -2.040816327t + t2 = -1.224489796 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 = -1.224489796 + 1.041232821 Reorder the terms: 1.041232821 + -2.040816327t + t2 = -1.224489796 + 1.041232821 Combine like terms: -1.224489796 + 1.041232821 = -0.183256975 1.041232821 + -2.040816327t + t2 = -0.183256975 Factor a perfect square on the left side: (t + -1.020408164)(t + -1.020408164) = -0.183256975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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