If the roots of the quadratic equation  x2+px+y=0 are  are tan 30° and tan 15° respectively, then the value   of  2+q−p is,

It is given that tan 30° and tan 15° are roots of the given equation.  ∴ tan⁡30∘+tan⁡15∘=−p and  tan⁡30∘tan⁡15∘=q Now,  tan⁡45∘=tan⁡30∘+tan⁡15∘1−tan⁡30∘tan⁡15∘⇒ 1=−p1−q⇒1−q=−p⇒q−p=1⇒q−p+2=3