Find the number of ordered pairs (x; y), with x and y both integers, thatsatisfy the equation: x^2-4y^2 = -3

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The ordered pairs (x, y) where both x and y are integers have to be determined such that x^2 - 4y^2 = -3

x^2 - 4y^2 = -3

=> (x - 2y)(x + 2y) = -3

This is true only if x = 1 and y = 1

The required ordered pair is (1, 1)

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