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Simplifying 0.51t2 + -10.2t + 68.2 = 0 Reorder the terms: 68.2 + -10.2t + 0.51t2 = 0 Solving 68.2 + -10.2t + 0.51t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 0.51 the coefficient of the squared term: Divide each side by '0.51'. 133.7254902 + -20t + t2 = 0 Move the constant term to the right: Add '-133.7254902' to each side of the equation. 133.7254902 + -20t + -133.7254902 + t2 = 0 + -133.7254902 Reorder the terms: 133.7254902 + -133.7254902 + -20t + t2 = 0 + -133.7254902 Combine like terms: 133.7254902 + -133.7254902 = 0.0000000 0.0000000 + -20t + t2 = 0 + -133.7254902 -20t + t2 = 0 + -133.7254902 Combine like terms: 0 + -133.7254902 = -133.7254902 -20t + t2 = -133.7254902 The t term is -20t. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20t + 100 + t2 = -133.7254902 + 100 Reorder the terms: 100 + -20t + t2 = -133.7254902 + 100 Combine like terms: -133.7254902 + 100 = -33.7254902 100 + -20t + t2 = -33.7254902 Factor a perfect square on the left side: (t + -10)(t + -10) = -33.7254902 Can't calculate square root of the right side. The solution to this equation could not be determined.
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