Inspired by Calvin Lin - Part III

Algebra Level 5

\[(x+17)^2+(2x+16)^2+(3x+15)^2+\ldots+(16x+2)^2+(17x+1)^2=0\]

If \(\alpha \) and \(\beta\) are the roots of the equation above, and suppose \(| \alpha + \beta - \alpha \beta | = \frac a b\) for coprime positive integers \(a,b\), find the value of \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...