MHB 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 a/b + c/a + b/(c+1) = 5/2. A participant points out a typo in the original post, where 'z' should have been 'c'. The author acknowledges the error and thanks the participant for the correction. The main goal remains to identify the valid triples that meet the specified equation. The conversation emphasizes clarity in mathematical expressions to avoid confusion.
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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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