There are two ${\bf positive}$ integers $c$ for which the equation $$5x^2+11x+c=0$$has rational solutions. What is the product of those two values of $c$?
Question:
There are two ${\bf positive}$ integers $c$ for which the equation $$5x^2+11x+c=0$$has rational solutions. What is the product of those two values of $c$?
Answer:
Let's think step by step.

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There are two ${\bf positive}$ integers $c$ for which the equation $$5x^2+11x+c=0$$has rational solutions. What is the product of those two values of $c$?
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