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Home » Solution: Multiply $ \frac34 $ by $ \frac52 $: - DNSFLEX

Solution: Multiply $ \frac34 $ by $ \frac52 $: - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 t \approx 45 \times 3.14 = 141.3 \text{ minutes}

📌 A quadratic equation \( ax^2 + bx + c = 0 \) has roots \( \alpha \) and \( \beta \). If \( a = 2 \), \( b = -7 \), and \( c = 3 \), find the sum and product of the roots.

📌 The sum of the roots \( \alpha + \beta \) is given by:

📌 -\frac{b}{a} = -\frac{-7}{2} = \frac{7}{2}

📌 The product of the roots \( \alpha \beta \) is given by:

📌 \frac{c}{a} = \frac{3}{2}

📌 #### Sum: \(\frac{7}{2}\), Product: \(\frac{3}{2}\)

📌 A train travels from City A to City B at a speed of 80 km/h and returns at a speed of 100 km/h. If the total travel time is 9 hours, what is the distance between the two cities?

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