Question

Solving Quadratic Equations with Complex Numbers x2+2x+9=0

Answer 1

x_1,_2=(-2+/- sqrt(4-36))/2=(-2+/- sqrt(-32))/2 =(-2+/- sqrt(-16*2))/2 =
=(-2+/- 4isqrt(2))/2 =-1+/- 2isqrt2

Answer 2

\[x^2+2x=-9\]
\[(x+1)^2=-9+1=-8\]
\[x+1=\pm\sqrt{-8}=\pm2\sqrt{2}i\]
\[x=-1\pm2\sqrt{2}i\]