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Home » You Won’t Believe What Happened When Margit Spilled the Decks! - Carbonext

You Won’t Believe What Happened When Margit Spilled the Decks! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 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}

📌 \sqrt{564} = \sqrt{4 \cdot 141} = 2\sqrt{141}

📌 r = \frac{6 \pm 2\sqrt{141}}{6} = \frac{3 \pm \sqrt{141}}{3}

📌 Since radius must be positive and greater than 2, we take the positive root:

📌 r = \frac{3 + \sqrt{141}}{3}

📌 Check if this is greater than 2:

📌 \(\sqrt{141} \approx 11.87\), so \( r \approx (3 + 11.87)/3 = 14.87/3 \approx 4.96 > 2 \), valid.

📌 Thus, the original radius is \(\boxed{\frac{3 + \sqrt{141}}{3}}\).

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