JEE Advanced 2016 (1)

Algebra Level 4

$\sum_{r=1}^{25}(3p_{r}+2q_{r})$ Find the value of above expression if $p_{r},q_{r} (p_{r}<q_{r})$ are the roots of $x^{2}-r^{2}(r+1)x+r^{5}=0$ .