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.
The sum of all integral values of c is 58.
Thank you but it says that's wrong.
I expect it is integer values, not integral values
\(two\;\;rational \;\;roots \;\;if\;\; \\ b^2-4ac>0\\ 49+4c>0 \\ 4c>-49 \\ c > -12.25 \)
-12+-11+ .......+0 + 1 + ....... +25 =
You can finish it
+184 
