Complex numbers › Roots of unity and complex roots › Counting complex solutions

Gaussian integer pairs with product 10

High school · ●●●○○ 50 pts

Compute the number of ordered pairs of complex numbers (u,v)(u, v) such that uv=10uv = 10 and such that the real and imaginary parts of uu and vv are integers.

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Gaussian integersdivisor counting