Řešení rovnice s komplexními koeficienty
Urči kořeny rovnice s komplexními koeficienty:
\( 5 i x^{2}+\left(\frac{\sqrt{3}}{4}+i\right) x+\frac{1}{64} i=0 \)
\( K=\left\{-\frac{2+\sqrt{3}}{20}-\frac{2+\sqrt{3}}{40} i ;-\frac{2-\sqrt{3}}{20}+\frac{2-\sqrt{3}}{40} i\right\} \)
\( K=\left\{-\frac{2-\sqrt{3}}{20}+\frac{2-\sqrt{3}}{40} i ;-\frac{2+\sqrt{3}}{20}-\frac{2+\sqrt{3}}{40} i\right\} \)
\( K=\left\{-\frac{2-\sqrt{3}}{20}-\frac{2+\sqrt{3}}{40} i ;-\frac{2+\sqrt{3}}{20}+\frac{2-\sqrt{3}}{40} i\right\} \)
\( K=\left\{-\frac{2-\sqrt{3}}{20}-\frac{2-\sqrt{3}}{40} i ;-\frac{2+\sqrt{3}}{20}+\frac{2+\sqrt{3}}{40} i\right\} \)