# An algebra problem by Krishna Sharma

Algebra Level 3

For $$\displaystyle a,b,c \in \mathbb N$$, the polynomial $$\displaystyle ax^{2} - bx + c$$ has 2 distinct real roots $$p,q$$ such that $$p,q \in (0,1)$$.

Then find the minimum possible value of 'a'.

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