Find the sum of all integral values of $c$ with $c\le 25$ for which the equation $y=x^2-7x-c$ has two rational roots.
Question:
Find the sum of all integral values of $c$ with $c\le 25$ for which the equation $y=x^2-7x-c$ has two rational roots.
Answer:
Let's think step by step.

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Find the sum of all integral values of $c$ with $c\le 25$ for which the equation $y=x^2-7x-c$ has two rational roots.
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