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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?

 Aug 9, 2021
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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?   

 

Given                                                 1/p + 1/q  =  1  

 

Multiply both sides by pq          pq • (1/p + 1/q)  =  pq  

 

                                                       pq/p + pq/q  =  pq  

 

                                                          q   +   p     =  pq   

 

Given                                                            pq  =  9  

 

Therefore                                                p  +  q  =  9  

 Aug 9, 2021

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