2024 ACS(BR) P1 Q1

Secondary 4

5 marks

The line \(x-y=3\) intersects the curve \(x^2-3xy+y^2+19=0\) at the points \(P\) and \(Q\). Find the coordinates of \(P\) and of \(Q\).[5]

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Answer:\((7,4)\) and \((-4,-7)\).

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