Question

Rezolvati in multimea numerelor complexe ecuatia Z la puterea 2 +4=0

Answer 1

$Z^{2} +4=0$

Δ$= b^{2} -4ac=0-4*1*4=-16$

$z_{1} = \frac{-b-i \sqrt{(-delta)} }{2a} = \frac{0-i \sqrt{16} }{2} = \frac{-4i}{2} =-2i$

$z_{1} = \frac{-b+i \sqrt{(-delta)} }{2a} = \frac{0+i \sqrt{16} }{2} = \frac{4i}{2} =2i$

S={-2i: 2i}