Search problems

2 problems match “real and imaginary parts”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Complex equation with a conjugate ●●○○○ 20 ptsLet $z$ be a complex number and let $z'$ denote its complex conjugate. Find $z$ if $\frac{z}{2}+3=\frac{z'}{3}-2$.
2. Gaussian integer pairs with product 10 ●●●○○ 50 ptsCompute the number of ordered pairs of complex numbers $(u, v)$ such that $uv = 10$ and such that the real and imaginary parts of $u$ and $v$ are integers.