Clean Minima
Algebra
Level
4
Let \(\large \alpha\) and \(\large\beta\) be the roots of \(x^{2}-4(k^{2}-7k+8)x-7\).
If \(\large V_{n}=\alpha^{n}-\beta^{n}\) for \(n\geq1\).
Then Find the minimum possible value of
\[\large\dfrac{V_{101}-7V_{99}}{V_{100}}\]
by
Shubhendra Singh