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Simplifying 0.0825t2 + -0.0924t + 1.784 = 0 Reorder the terms: 1.784 + -0.0924t + 0.0825t2 = 0 Solving 1.784 + -0.0924t + 0.0825t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.0825 the coefficient of the squared term: Divide each side by '0.0825'. 21.62424242 + -1.12t + t2 = 0 Move the constant term to the right: Add '-21.62424242' to each side of the equation. 21.62424242 + -1.12t + -21.62424242 + t2 = 0 + -21.62424242 Reorder the terms: 21.62424242 + -21.62424242 + -1.12t + t2 = 0 + -21.62424242 Combine like terms: 21.62424242 + -21.62424242 = 0.00000000 0.00000000 + -1.12t + t2 = 0 + -21.62424242 -1.12t + t2 = 0 + -21.62424242 Combine like terms: 0 + -21.62424242 = -21.62424242 -1.12t + t2 = -21.62424242 The t term is -1.12t. Take half its coefficient (-0.56). Square it (0.3136) and add it to both sides. Add '0.3136' to each side of the equation. -1.12t + 0.3136 + t2 = -21.62424242 + 0.3136 Reorder the terms: 0.3136 + -1.12t + t2 = -21.62424242 + 0.3136 Combine like terms: -21.62424242 + 0.3136 = -21.31064242 0.3136 + -1.12t + t2 = -21.31064242 Factor a perfect square on the left side: (t + -0.56)(t + -0.56) = -21.31064242 Can't calculate square root of the right side. The solution to this equation could not be determined.
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