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Simplifying -4.9t2 + 20t = 100 Reorder the terms: 20t + -4.9t2 = 100 Solving 20t + -4.9t2 = 100 Solving for variable 't'. Reorder the terms: -100 + 20t + -4.9t2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 20t + -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'. 20.40816327 + -4.081632653t + t2 = 0 Move the constant term to the right: Add '-20.40816327' to each side of the equation. 20.40816327 + -4.081632653t + -20.40816327 + t2 = 0 + -20.40816327 Reorder the terms: 20.40816327 + -20.40816327 + -4.081632653t + t2 = 0 + -20.40816327 Combine like terms: 20.40816327 + -20.40816327 = 0.00000000 0.00000000 + -4.081632653t + t2 = 0 + -20.40816327 -4.081632653t + t2 = 0 + -20.40816327 Combine like terms: 0 + -20.40816327 = -20.40816327 -4.081632653t + t2 = -20.40816327 The t term is -4.081632653t. Take half its coefficient (-2.040816327). Square it (4.164931281) and add it to both sides. Add '4.164931281' to each side of the equation. -4.081632653t + 4.164931281 + t2 = -20.40816327 + 4.164931281 Reorder the terms: 4.164931281 + -4.081632653t + t2 = -20.40816327 + 4.164931281 Combine like terms: -20.40816327 + 4.164931281 = -16.243231989 4.164931281 + -4.081632653t + t2 = -16.243231989 Factor a perfect square on the left side: (t + -2.040816327)(t + -2.040816327) = -16.243231989 Can't calculate square root of the right side. The solution to this equation could not be determined.
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