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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f(x,y) = x^2-y^2 and g(x,y) = 2xy . such that (f(x,y))^2 - (g(x,y))^2 = 1 2 and f(x,y) g(x,y) = 3 4 Find the number of ordered pairs (x,y) ?

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4

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