# An algebra problem by Saikat Sengupta

Algebra Level 4

Let $$p$$ and $$q$$ be 2 integers. And the 2 roots of the equation (in $$x$$) below

$x^2 - \dfrac{p^2+11}9 x + \dfrac{15}4 (p+q) + 16 = 0$

is also $$p$$ and $$q$$. Which of the following pairs of can represent the values of $$p$$ and $$q$$?

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