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Home » \( t^2 - 4t - 10 = 0 \) - Veritas Home Health

\( t^2 - 4t - 10 = 0 \) - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The product of two consecutive odd integers is 143. What are the integers?

📌 Let the integers be x and x+2. Then, x(x+2) = 143.

📌 Expanding, x² + 2x - 143 = 0.

📌 Solving this quadratic using the quadratic formula, x = [-2 ± √(2² + 4*143)] / 2.

📌 Discriminant = 4 + 572 = 576, √576 = 24.

📌 x = [-2 ± 24] / 2. Possible positive root, x = (24 - 2) / 2 = 11.

📌 Integers are 11 and 13.

📌 #### 11 and 13

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