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Find the sum of all integral values of c with c <= 25 for which the equation y = x^2 - 17x - c has two rational roots.

 May 28, 2021
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For there to be 2 rational roots, the derivative has to be a positive square. 

(17^2 + 4c) is a positive square like (1, 4, 9, 16...)

Take it from here. :))

 

=^._.^=

 May 28, 2021

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