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Simplifying 41 = 15t + -3t2 Solving 41 = 15t + -3t2 Solving for variable 't'. Reorder the terms: 41 + -15t + 3t2 = 15t + -15t + -3t2 + 3t2 Combine like terms: 15t + -15t = 0 41 + -15t + 3t2 = 0 + -3t2 + 3t2 41 + -15t + 3t2 = -3t2 + 3t2 Combine like terms: -3t2 + 3t2 = 0 41 + -15t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 13.66666667 + -5t + t2 = 0 Move the constant term to the right: Add '-13.66666667' to each side of the equation. 13.66666667 + -5t + -13.66666667 + t2 = 0 + -13.66666667 Reorder the terms: 13.66666667 + -13.66666667 + -5t + t2 = 0 + -13.66666667 Combine like terms: 13.66666667 + -13.66666667 = 0.00000000 0.00000000 + -5t + t2 = 0 + -13.66666667 -5t + t2 = 0 + -13.66666667 Combine like terms: 0 + -13.66666667 = -13.66666667 -5t + t2 = -13.66666667 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = -13.66666667 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -13.66666667 + 6.25 Combine like terms: -13.66666667 + 6.25 = -7.41666667 6.25 + -5t + t2 = -7.41666667 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = -7.41666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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