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How many pairs of positive integers (a,b) satisfy 1/a + 1/b = 1/(2*17)?

 Feb 8, 2022
 #1
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idk figure it out i guess

 Feb 8, 2022
 #2
avatar+23183 
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I think that there are seventeen:

(68,68)

(51,102), (102,51)

(38,323), (323,38)

(36,612), (612,36)

(35,1190), (1190,35)

(33,-1122), (-1122,33)

(32,-544), (-544,32)

(30,-255), (-255,30)

(17,-34), (-34,17)

 Feb 9, 2022

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