# JEE Quadratics problem

**Algebra**Level 5

Consider the quadratic equation \(ax^{2}-bx+c=0\) where \(a,b,c \in \mathbb N\) which has two distinct real real roots belonging to the interval \((1,2)\).If the least values of \(a,b,c\) are \(A,B,C\) respectively then find \(A+B+C\)