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Home » \Delta = b^2 - 4ac - Baxtercollege

\Delta = b^2 - 4ac - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Divide through by \( \frac{4}{3}\pi \):

📌 r^3 - (r - 2)^3 = 96

📌 Expand \( (r - 2)^3 \):

📌 r^3 - (r^3 - 6r^2 + 12r - 8) = 96

📌 6r^2 - 12r + 8 = 96

📌 6r^2 - 12r - 88 = 0

📌 3r^2 - 6r - 44 = 0

📌 r = \frac{6 \pm \sqrt{(-6)^2 - 4 \cdot 3 \cdot (-44)}}{2 \cdot 3} = \frac{6 \pm \sqrt{36 + 528}}{6} = \frac{6 \pm \sqrt{564}}{6}

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