Equation of two lines

Geometry Level 4

\[\large y^2 - 300xy - 100000 x^2 - 2y +1000x = 0 \]

Let \(A\) be the area bounded by the curve above and the \(x\)-axis. Find \(\lfloor 10000A \rfloor \).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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