Question

Determine as raizes complexas do polinômio dado por p(x)=x^2+4x+5.

Answer 1

$x^2+4x+5=0\\\\\delta=4^2-4*1*5\\\delta=16-20\\\delta=-4\\\\x=\frac{-4+/-\sqrt{-4}}{2.1}\\\\x=\frac{-4+\sqrt{4}.i}{2}\\\\x=\frac{-4+2i}{2}\\\\x=-2+i\\\\x'=\frac{-4-2i}{2}\\\\x'=-2-i\\\\S=(-2+i,-2-i)$