Algebra

Question

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265

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Given two real numbers p and q such that 1/p + 1/q = 1 and pq = 9, what is p + q?

Guest Jun 29, 2022

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Best Answer

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 $p + q = \color{brown}\boxed{9}$

BuilderBoi Jun 29, 2022

BuilderBoi · Answer 1 · 2022-06-29T08:02:07

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 $p + q = \color{brown}\boxed{9}$