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Home » STARLORD’s Random Act of Heroism—Why It’s Going Viral Tonight! - AssociationVoting

STARLORD’s Random Act of Heroism—Why It’s Going Viral Tonight! - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 x = rac{-2 \pm \sqrt{4 + 24}}{2} = rac{-2 \pm \sqrt{28}}{2} = rac{-2 \pm 2\sqrt{7}}{2} = -1 \pm \sqrt{7}

📌 The corresponding \(y\)-coordinates are \(y = x + 2\), so:

📌 y = (-1 + \sqrt{7}) + 2 = 1 + \sqrt{7}, \quad y = (-1 - \sqrt{7}) + 2 = 1 - \sqrt{7}

📌 The points of intersection are \(A = (-1 + \sqrt{7}, 1 + \sqrt{7})\) and \(B = (-1 - \sqrt{7}, 1 - \sqrt{7})\).

📌 The area is the area of the circular segment. The central angle \( heta\) subtended by the chord can be found using the dot product of vectors from the origin to the points.

📌 Let \(ec{OA} = \langle -1 + \sqrt{7}, 1 + \sqrt{7}

📌 angle\), \(ec{OB} = \langle -1 - \sqrt{7}, 1 - \sqrt{7}

📌 Dot product:

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