A

9000037506

Część: 
A
Dane są liczby zespolone \[ a = 3 + 5\mathrm{i}\text{, }\quad b = 2 -\mathrm{i}\text{, } \] oblicz iloraz \(\frac{a} {b}\).
\(\frac{1} {5} + \mathrm{i}\frac{13} {5} \)
\(\frac{1} {3} + \mathrm{i}\frac{13} {3} \)
\(\frac{1} {5} + \mathrm{i}\frac{7} {5}\)
\(\frac{1} {3} + \mathrm{i}\frac{7} {3}\)

9000037507

Część: 
A
Dane są liczby zespolone \[ a = \sqrt{3} + 2\mathrm{i}\text{, }\quad b = \sqrt{2} -\mathrm{i}\text{, } \] oblicz iloraz \(\frac{a} {b}\).
\(\frac{\sqrt{6}-2} {3} + \mathrm{i}\frac{2\sqrt{2}+\sqrt{3}} {3} \)
\(\frac{\sqrt{6}-2} {3} -\mathrm{i}\frac{2\sqrt{2}+\sqrt{3}} {3} \)
\(\frac{\sqrt{6}-3} {2} + \mathrm{i}\frac{2\sqrt{2}+\sqrt{3}} {2} \)
\(\frac{\sqrt{6}-2} {2} -\mathrm{i}\frac{2\sqrt{2}+\sqrt{3}} {2} \)