For the quadratic equation $x^2+3x+5=0,$ find the value of the discriminant to determine if the equation has a real or nonreal solution.

a$.)\sqrt[\phantom{2}]{17}$; real solution

b$.)\sqrt[\phantom{2}]{-17}$; non$-$real solution

c$.)\sqrt[\phantom{2}]{-11}$; non$-$real solution

d$.)\sqrt[\phantom{2}]{11}$; real solution