If the equation x2+px+q=0 and x2+qx+p=0, have a common root, then p+q+1=

Let α is the common root, so α2+pα+q=0    ...(i)and α2+qα+p=0    ...(ii)from (i)-(ii),(a-b)α+20=0⇒(p-q)α+(q-p)=0⇒α=1Put the value of α in (i), p+q+1=0.