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Simplifying 65.6t2 + -143.1t + 131.5 = 0 Reorder the terms: 131.5 + -143.1t + 65.6t2 = 0 Solving 131.5 + -143.1t + 65.6t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 65.6 the coefficient of the squared term: Divide each side by '65.6'. 2.004573171 + -2.181402439t + t2 = 0 Move the constant term to the right: Add '-2.004573171' to each side of the equation. 2.004573171 + -2.181402439t + -2.004573171 + t2 = 0 + -2.004573171 Reorder the terms: 2.004573171 + -2.004573171 + -2.181402439t + t2 = 0 + -2.004573171 Combine like terms: 2.004573171 + -2.004573171 = 0.000000000 0.000000000 + -2.181402439t + t2 = 0 + -2.004573171 -2.181402439t + t2 = 0 + -2.004573171 Combine like terms: 0 + -2.004573171 = -2.004573171 -2.181402439t + t2 = -2.004573171 The t term is -2.181402439t. Take half its coefficient (-1.09070122). Square it (1.189629151) and add it to both sides. Add '1.189629151' to each side of the equation. -2.181402439t + 1.189629151 + t2 = -2.004573171 + 1.189629151 Reorder the terms: 1.189629151 + -2.181402439t + t2 = -2.004573171 + 1.189629151 Combine like terms: -2.004573171 + 1.189629151 = -0.81494402 1.189629151 + -2.181402439t + t2 = -0.81494402 Factor a perfect square on the left side: (t + -1.09070122)(t + -1.09070122) = -0.81494402 Can't calculate square root of the right side. The solution to this equation could not be determined.
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