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Algebra

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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

#1
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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
+2448
0
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 $$p + q = \color{brown}\boxed{9}$$