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Simplifying 2450 = 98t + -4.9t2 Solving 2450 = 98t + -4.9t2 Solving for variable 't'. Reorder the terms: 2450 + -98t + 4.9t2 = 98t + -98t + -4.9t2 + 4.9t2 Combine like terms: 98t + -98t = 0 2450 + -98t + 4.9t2 = 0 + -4.9t2 + 4.9t2 2450 + -98t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 2450 + -98t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 500 + -20t + t2 = 0 Move the constant term to the right: Add '-500' to each side of the equation. 500 + -20t + -500 + t2 = 0 + -500 Reorder the terms: 500 + -500 + -20t + t2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -20t + t2 = 0 + -500 -20t + t2 = 0 + -500 Combine like terms: 0 + -500 = -500 -20t + t2 = -500 The t term is -20t. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20t + 100 + t2 = -500 + 100 Reorder the terms: 100 + -20t + t2 = -500 + 100 Combine like terms: -500 + 100 = -400 100 + -20t + t2 = -400 Factor a perfect square on the left side: (t + -10)(t + -10) = -400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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