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Simplifying 4t2 + 11t + 500 = 0 Reorder the terms: 500 + 11t + 4t2 = 0 Solving 500 + 11t + 4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 125 + 2.75t + t2 = 0 Move the constant term to the right: Add '-125' to each side of the equation. 125 + 2.75t + -125 + t2 = 0 + -125 Reorder the terms: 125 + -125 + 2.75t + t2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + 2.75t + t2 = 0 + -125 2.75t + t2 = 0 + -125 Combine like terms: 0 + -125 = -125 2.75t + t2 = -125 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 = -125 + 1.890625 Reorder the terms: 1.890625 + 2.75t + t2 = -125 + 1.890625 Combine like terms: -125 + 1.890625 = -123.109375 1.890625 + 2.75t + t2 = -123.109375 Factor a perfect square on the left side: (t + 1.375)(t + 1.375) = -123.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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