If  the difference between the roots of the equation x2+ax+1=0 less then  5,  then the set of possible value of a is

Let α and β be the roots of the equation x2+ax+1=0then, α+β=−a  and  αβ=1 It is given that |α−β|<5⇒(α−β)2<5⇒ (α+β)2−4αβ<5⇒ a2−4<5⇒a2−9<0⇒−3