Finding Triples to Satisfy $\frac{5}{2}$

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The discussion focuses on finding all positive integer triples \((a, b, c)\) that satisfy the equation \(\frac{a}{b} + \frac{c}{a} + \frac{b}{c+1} = \frac{5}{2}\). A typographical error was noted where \(z\) was incorrectly used instead of \(c\). The corrected equation is crucial for accurately determining the valid triples.

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Find all triples $(a,\,b,\,c)$ of positive integers such that $\dfrac{a}{b}+\dfrac{c}{a}+\dfrac{b}{c+1}=\dfrac{5}{2}$.
 
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anemone said:
Find all triples $(a,\,b,\,c)$ of positive integers such that $\dfrac{a}{b}+\dfrac{c}{a}+\dfrac{b}{z+1}=\dfrac{5}{2}$.

what s z ?
 
It's a typo...$z$ is supposed to be a $c$.

I will fix my original post right now, and thanks for catching that...:D
 

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