Question

Z - комплексное число​

Answer 1

$16z^{2}-24z+13=0\\\\D=(-24)^{2}-4*16*13=576-832=-256\\\\x_{1}=\frac{24+\sqrt{-256}}{32}=\frac{24+16i}{32}=\frac{3+2i}{4}\\\\x_{2}=\frac{24-\sqrt{-256}}{32}=\frac{24-16i}{32}=\frac{3-2i}{4}\\\\Otvet:\boxed{\frac{3+2i}{4},\frac{3-2i}{4}}$