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Simplifying 98 = -4.9t2 + 19.6t Reorder the terms: 98 = 19.6t + -4.9t2 Solving 98 = 19.6t + -4.9t2 Solving for variable 't'. Reorder the terms: 98 + -19.6t + 4.9t2 = 19.6t + -19.6t + -4.9t2 + 4.9t2 Combine like terms: 19.6t + -19.6t = 0.0 98 + -19.6t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2 98 + -19.6t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 98 + -19.6t + 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'. 20 + -4t + t2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -4t + -20 + t2 = 0 + -20 Reorder the terms: 20 + -20 + -4t + t2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4t + t2 = 0 + -20 -4t + t2 = 0 + -20 Combine like terms: 0 + -20 = -20 -4t + t2 = -20 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = -20 + 4 Reorder the terms: 4 + -4t + t2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + -4t + t2 = -16 Factor a perfect square on the left side: (t + -2)(t + -2) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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