An algebra problem by Krishna Sharma

Algebra Level 3

For a,b,cN\displaystyle a,b,c \in \mathbb N , the polynomial ax2bx+c\displaystyle ax^{2} - bx + c has 2 distinct real roots p,qp,q such that p,q(0,1) p,q \in (0,1).

Then find the minimum possible value of 'a'.

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