Given two real numbers p and q such that 1/p + 1/q = 1 and pq = 9, what is p + q?
Recall that: \({1 \over p} + {1 \over q} = {p \over pq} + {q \over pq} = {p + q \over pq} \)
We have: \({p + q \over 9} = 1\), so \(p + q = \color{brown}\boxed{9}\)
Recall that: \({1 \over p} + {1 \over q} = {p \over pq} + {q \over pq} = {p + q \over pq} \)
We have: \({p + q \over 9} = 1\), so \(p + q = \color{brown}\boxed{9}\)