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Simplifying 5(t2) + -24.25(t) + 51 = 0 Reorder the terms: 51 + -24.25t + 5t2 = 0 Solving 51 + -24.25t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 10.2 + -4.85t + t2 = 0 Move the constant term to the right: Add '-10.2' to each side of the equation. 10.2 + -4.85t + -10.2 + t2 = 0 + -10.2 Reorder the terms: 10.2 + -10.2 + -4.85t + t2 = 0 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -4.85t + t2 = 0 + -10.2 -4.85t + t2 = 0 + -10.2 Combine like terms: 0 + -10.2 = -10.2 -4.85t + t2 = -10.2 The t term is -4.85t. Take half its coefficient (-2.425). Square it (5.880625) and add it to both sides. Add '5.880625' to each side of the equation. -4.85t + 5.880625 + t2 = -10.2 + 5.880625 Reorder the terms: 5.880625 + -4.85t + t2 = -10.2 + 5.880625 Combine like terms: -10.2 + 5.880625 = -4.319375 5.880625 + -4.85t + t2 = -4.319375 Factor a perfect square on the left side: (t + -2.425)(t + -2.425) = -4.319375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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