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W e h a v e, 10 {(x + 1)}^{2} + (x + 1) (y - 2) - 3 {(y - 2)}^{2} = 0 \Rightarrow 10 (x^{2} + 1 + 2 x) + x y - 2 x + y - 2 - 3 (y^{2} + 4 - 4 y) = 0 \Rightarrow 10 x^{2} + 10 + 20 x + x y - 2 x + y - 2 - 3 y^{2} - 12 + 12 y = 0 \Rightarrow 10 x^{2} + 18 x - 3 y^{2} + 13 y + x y - 4 = 0

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