Problems need HardWork #7

Algebra Level 4

If $x^2 - 2015x - kx + 2015k + 1$ has integer roots for integral value of $k$ , find the sum of all possible values of $k$ .

1 solution

Raj Rajput
Aug 22, 2015

Can we use:-

$b^{2} \ge 4ac \\ k^{2}-4030k+4060224 \ge 0$

By using sum of roots formula we get answer $4030$

Department 8 - 5 years, 9 months ago

your solution is excellent!!

Dev Sharma - 5 years, 9 months ago

thanks :) :)

RAJ RAJPUT - 5 years, 9 months ago

Same solution and excellent writing.

Kushagra Sahni - 5 years, 9 months ago

Thanks :) :)

RAJ RAJPUT - 5 years, 9 months ago