The discriminant of a quadratic equation [tex]a{x}^{2} +bx+c=0[/tex] is given by [tex] {b}^{2}-4ac [/tex].
Plugging in, we get [tex] {(1)}^{2} -4(5)(11)=1-220=\boxed{-219}[/tex].
...Trivial plugging in; really no thought required. I don't like seeing questions like these in math class.
