Group them in a nice way
Algebra
Level
5
\[2000x^6+100x^5+10x^3+x-2=0\]
The equation above has two real roots one of which is \(\dfrac{m+\sqrt{n}}{r}\) for integers \(m,n,r\) with \(n\) square free and \(r\) positive.
Find \(m+n+r\).
by
Parth Lohomi