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Home » Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 - Silent Sales Machine

Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 - Silent Sales Machine

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \( 2x^3 - 3x^2 + x - 5 = (x - 1)(2x^2 - x - 5) \) using synthetic division.

📌 Cancel the common factor:

📌 \( f(x) = 2x^2 - x - 5 \) for \( x

📌 Evaluate \( f(1) \):

📌 \( f(1) = 2(1)^2 - 1 - 5 = 2 - 1 - 5 = -4 \).

📌 Thus, \( f(1) = -4 \) after removing the discontinuity.

📌 Find the area enclosed by the curves \( y = x^2 \) and \( y = 4x - x^2 \).

📌 Set the equations equal to find intersection points:

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