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aflati nr intregi x si y stiind ca |x-y-25|+|x-31+y|=0

Răspuns :

Am rezolvat ecuatia prin totalitate(fiecare modul are cate doua variante)
Vezi imaginea POGRANICK


[tex]\it |x-y-25|+|x-31+y|=0 \Rightarrow \begin{cases} \it x-y-25=0 \\\;\\ \it x+y-31=0\end{cases} \Longrightarrow \\\;\\ \\\;\\ \Rightarrow \begin{cases} \it x-y=25 \\\;\\ \it x+y=31\end{cases} \Longrightarrow x = 28,\ \ \ y=3[/tex]