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Home » + 4 + \frac1a^2 + \frac1b^2 = 5 + \frac1a^2 + \frac1b^2 - Crosslake

+ 4 + \frac1a^2 + \frac1b^2 = 5 + \frac1a^2 + \frac1b^2 - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 At a rate of 2 cubic meters per minute, the time \( t \) to empty the tank is:

📌 t = \frac{90\pi}{2} = 45\pi \text{ minutes}

📌 Approximating \(\pi \approx 3.14\):

📌 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:

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