Mathematics
Senior High
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(1)が分かりません教えてください!

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✨ Best Answer ✨

(2/m)+(4/n)=1
両辺にmnをかけて
2n+4m=mn
mn−2n−4m=0
(m−2)(n−4)=8
(m−2,n−4)=(±1,±8)(±2,±4)(±4,±2)(±8,±1)

m>0,n>0より

(m,n)=(3,12),(4,8),(6,6),(10,5)

nanami

ありがとうございます!

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