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what is a mixed economy - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 2x^2 + 4x + 4 - 16 = 0

📌 2x^2 + 4x - 12 = 0

📌 x^2 + 2x - 6 = 0

📌 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.

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