Автор - sanat58

a+(1/b)=3 ,b+(1/a)=5 , найдите (a+b)/(a-b)=?​

Ответ

Проверено экспертом

Автор - DNHelper

left { {{a+frac{1}{b}=3|*b} atop {b+frac{1}{a}=5|*a}} right. left { {{ab+1=3b} atop {ab+1=5a}} right. Rightarrow 3b=5a Leftrightarrow a=0.6b\frac{a+b}{a-b}=frac{0.6b+b}{0.6b-b}=frac{1.6a}{-0.4b}=-4

Ответ: -4

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