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Home » Set the sum equal to 210: - Blask

Set the sum equal to 210: - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), where \(a = 4\), \(b = -50\), \(c = 40\).

📌 Discriminant: \(b^2 - 4ac = 2500 - 640 = 1860\).

📌 \(x = \frac{50 \pm \sqrt{1860}}{8}\).

📌 Approximating \(\sqrt{1860} \approx 43.13\),

📌 \(x = \frac{50 \pm 43.13}{8}\).

📌 Possible values: \(x = \frac{93.13}{8} \approx 11.64\) (not possible, exceeds half width) or \(x = \frac{6.87}{8} \approx 0.86\).

📌 Therefore, the width of the path is approximately 0.86 meters.

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