# This Should Be Simple, Right?

Algebra Level 4

$\begin{eqnarray} p(x)&=&51x^2+mx+c \\ q(x)&=&3x^2+bx+a \end{eqnarray}$

$$p(x)$$ and $$q(x)$$ are two quadratic polynomials with integer coefficients such that $$p(r)=q(r)=0$$. If $$r$$ is an irrational number, what is $$\dfrac{c}{a}$$?

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