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(x+1)^2+(y-2)^2+(z-3)^2=25


Răspuns :

Rezolvati in N³ ecuatia

(x+1)^2+(y-2)^2+(z-3)^2=25
 avem urmatoarele variante
x+1=5, y-2=0, z-3=0 care ma duce la x=4; y=2;  z=3

x+1=0, y-2=5 z-3=0 ⇒x=-1; y=2 z=3 nu convine
 
x+1=0; y-2=0 z-3=5...nu convine dincauzax=-1

x+1=3; y-2=4 z-3=0  ⇒(x,y,z) =(2;6;3...)

x+1=3  y-2=0 z-3=4 ⇒(x;y,z)=(.2;2'7..)

x+1=4; y-2=3  z-3=0 ⇒(x;y,z)=(3;5;3...)
 x+1=4;  y-2=0 z-3=3⇒(x;y,z) = (3.2;6)
Deci 5 solutii in N³