Mathematical Modelling
Mathematical Modelling
Mathematical Modelling
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Inleiding Complexe getallen; review Complexe functies<br />
Huiswerk<br />
Vind alle oplossingen van de vergelijking:<br />
(z + 1) 5 = z 5<br />
5.<br />
5√<br />
1 = e 2kπi/5 ,<br />
k = 0, 1, 2, 3, 4 en dus<br />
z + 1 = ze 2kπi/5 → z(1 − e 2kπi/5 ) = −1<br />
−1<br />
→ z =<br />
, k = 0, 1, 2, 3, 4<br />
1 − e2kπi/5
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