The number of positive integral solutions of x2+9<(x+3)2<8x+25 is
We have x2+9<(x+3)2 and (x+3)2<8x+25
⇒ 6x>0 and x2−2x−16<0⇒ x>0 and (x−1)2<17⇒ x>0 and −17+1<x<1+17⇒ 0<x<1+17⇒ integral values are x=1,2,3,4,5