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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. 

 Apr 2, 2021
 #1
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-1

The sum of all integral values of c is 58.

 Apr 2, 2021
 #2
avatar+184 
0

Thank you but it says that's wrong. 

 Apr 2, 2021
 #3
avatar+113120 
+1

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

 Apr 2, 2021

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