Question

dado z1=1+2i e z2=3-4i determine z1÷z2​

Answer 1

(1+2i)/(3-4i)=(1+2i)*(3+4i)/(3-4i)*(3+4i)=(1+2i)*(3+4i)/(3^2 - (4i)^2)=(1+2i)*(3+4i)/(9-(-16))=(1+2i)*(3+4i)/25=(3+4i+6i+8i^2)/25=(10i+3-8)/25=(10i-5)/25=(2i-1)/5