Answer
The quadratic equation has no real solution.
Work Step by Step
$Discriminant\gt0$: two real solutions.
$Discriminant=0$: one real solution.
$Discriminant\lt0$: no real solutions.
$x^2+2x+4=0~~$ ($a=1,b=2,c=4$)
$Discriminant=b^2-4ac=2^2-4(1)(4)=4-16=-12$
