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Simplifying 4.9t2 + -4.9t + 10 = 0 Reorder the terms: 10 + -4.9t + 4.9t2 = 0 Solving 10 + -4.9t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 2.040816327 + -1t + t2 = 0 Move the constant term to the right: Add '-2.040816327' to each side of the equation. 2.040816327 + -1t + -2.040816327 + t2 = 0 + -2.040816327 Reorder the terms: 2.040816327 + -2.040816327 + -1t + t2 = 0 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + -1t + t2 = 0 + -2.040816327 -1t + t2 = 0 + -2.040816327 Combine like terms: 0 + -2.040816327 = -2.040816327 -1t + t2 = -2.040816327 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -2.040816327 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -2.040816327 + 0.25 Combine like terms: -2.040816327 + 0.25 = -1.790816327 0.25 + -1t + t2 = -1.790816327 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = -1.790816327 Can't calculate square root of the right side. The solution to this equation could not be determined.
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