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Simplifying 7.36 = -1t2 + 2.75t Reorder the terms: 7.36 = 2.75t + -1t2 Solving 7.36 = 2.75t + -1t2 Solving for variable 't'. Reorder the terms: 7.36 + -2.75t + t2 = 2.75t + -2.75t + -1t2 + t2 Combine like terms: 2.75t + -2.75t = 0.00 7.36 + -2.75t + t2 = 0.00 + -1t2 + t2 7.36 + -2.75t + t2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 7.36 + -2.75t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-7.36' to each side of the equation. 7.36 + -2.75t + -7.36 + t2 = 0 + -7.36 Reorder the terms: 7.36 + -7.36 + -2.75t + t2 = 0 + -7.36 Combine like terms: 7.36 + -7.36 = 0.00 0.00 + -2.75t + t2 = 0 + -7.36 -2.75t + t2 = 0 + -7.36 Combine like terms: 0 + -7.36 = -7.36 -2.75t + t2 = -7.36 The t term is -2.75t. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75t + 1.890625 + t2 = -7.36 + 1.890625 Reorder the terms: 1.890625 + -2.75t + t2 = -7.36 + 1.890625 Combine like terms: -7.36 + 1.890625 = -5.469375 1.890625 + -2.75t + t2 = -5.469375 Factor a perfect square on the left side: (t + -1.375)(t + -1.375) = -5.469375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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