Basisbewerkingen gemengd (a+bi)

Bereken

\(\frac{-1+4i}{2+9i}\)

\(\frac{-1+4i}{2+9i}= \frac{-1+4i}{2+9i} \cdot \frac{2-9i}{2-9i} = \frac{-2+9i +8 i-36i^2 }{(2)^2-(9i)^2} = \frac{-2+9i +8 i+36}{4 + 81} = \frac{34+17i }{85} = \frac{2}{5} - \frac{-1}{5}i \)