Madness continues
Algebra
Level
5
\[\large(S_1+S_5)(S_1+S_9)=(S_7+S_a)(S_7+S_b)\]
For \(S_n=x^n+\frac{1}{x^n} \), if \(a\) and \(b\) are constants that satisfy the equation above, find the value of \(a+b\).
This is one of my original Madness problems.
by
Sanjeet Raria