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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?

 Jun 29, 2022

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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 \(p + q = \color{brown}\boxed{9}\)

 Jun 29, 2022
 #1
avatar+2448 
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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

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