SEAMO X 2022 — Paper E — Grade 9–10 Question 5

Let $\alpha,\beta$ be the roots of $x^2-20x-22=0$. If $\dfrac{1-\alpha}{1+\alpha}+\dfrac{1-\beta}{1+\beta}=-m/n$ with coprime positive integers $m,n$, find $m+n$.