Solve the equations $\frac{z+i}{z-i}=2+3i$ $z^4+8z^2+36=0$

Question

Accepted Answer

(a) $ \frac{3}{5}(1+2i)$; (b) $ 1 \pm i \sqrt{5}, -1 \pm i\sqrt{5} $.

Solving algebraic equations in complex numbers