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Simplifying 1.73 = 4.9t2 + 20t + 60 Reorder the terms: 1.73 = 60 + 20t + 4.9t2 Solving 1.73 = 60 + 20t + 4.9t2 Solving for variable 't'. Combine like terms: 1.73 + -60 = -58.27 -58.27 + -20t + -4.9t2 = 60 + 20t + 4.9t2 + -60 + -20t + -4.9t2 Reorder the terms: -58.27 + -20t + -4.9t2 = 60 + -60 + 20t + -20t + 4.9t2 + -4.9t2 Combine like terms: 60 + -60 = 0 -58.27 + -20t + -4.9t2 = 0 + 20t + -20t + 4.9t2 + -4.9t2 -58.27 + -20t + -4.9t2 = 20t + -20t + 4.9t2 + -4.9t2 Combine like terms: 20t + -20t = 0 -58.27 + -20t + -4.9t2 = 0 + 4.9t2 + -4.9t2 -58.27 + -20t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 -58.27 + -20t + -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'. 11.89183673 + 4.081632653t + t2 = 0 Move the constant term to the right: Add '-11.89183673' to each side of the equation. 11.89183673 + 4.081632653t + -11.89183673 + t2 = 0 + -11.89183673 Reorder the terms: 11.89183673 + -11.89183673 + 4.081632653t + t2 = 0 + -11.89183673 Combine like terms: 11.89183673 + -11.89183673 = 0.00000000 0.00000000 + 4.081632653t + t2 = 0 + -11.89183673 4.081632653t + t2 = 0 + -11.89183673 Combine like terms: 0 + -11.89183673 = -11.89183673 4.081632653t + t2 = -11.89183673 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 = -11.89183673 + 4.164931281 Reorder the terms: 4.164931281 + 4.081632653t + t2 = -11.89183673 + 4.164931281 Combine like terms: -11.89183673 + 4.164931281 = -7.726905449 4.164931281 + 4.081632653t + t2 = -7.726905449 Factor a perfect square on the left side: (t + 2.040816327)(t + 2.040816327) = -7.726905449 Can't calculate square root of the right side. The solution to this equation could not be determined.
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