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Simplifying 539 = 139t + -9.8t2 Solving 539 = 139t + -9.8t2 Solving for variable 't'. Reorder the terms: 539 + -139t + 9.8t2 = 139t + -139t + -9.8t2 + 9.8t2 Combine like terms: 139t + -139t = 0 539 + -139t + 9.8t2 = 0 + -9.8t2 + 9.8t2 539 + -139t + 9.8t2 = -9.8t2 + 9.8t2 Combine like terms: -9.8t2 + 9.8t2 = 0.0 539 + -139t + 9.8t2 = 0.0 Begin completing the square. Divide all terms by 9.8 the coefficient of the squared term: Divide each side by '9.8'. 55 + -14.18367347t + t2 = 0 Move the constant term to the right: Add '-55' to each side of the equation. 55 + -14.18367347t + -55 + t2 = 0 + -55 Reorder the terms: 55 + -55 + -14.18367347t + t2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -14.18367347t + t2 = 0 + -55 -14.18367347t + t2 = 0 + -55 Combine like terms: 0 + -55 = -55 -14.18367347t + t2 = -55 The t term is -14.18367347t. Take half its coefficient (-7.091836735). Square it (50.29414828) and add it to both sides. Add '50.29414828' to each side of the equation. -14.18367347t + 50.29414828 + t2 = -55 + 50.29414828 Reorder the terms: 50.29414828 + -14.18367347t + t2 = -55 + 50.29414828 Combine like terms: -55 + 50.29414828 = -4.70585172 50.29414828 + -14.18367347t + t2 = -4.70585172 Factor a perfect square on the left side: (t + -7.091836735)(t + -7.091836735) = -4.70585172 Can't calculate square root of the right side. The solution to this equation could not be determined.
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