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Determinati x,y€Z astfel incat (x-6) ×(x-6)+(y+4)×(y+4)=0

Răspuns :

[tex](x - 6)(x - 6) + (y + 4)(y + 4) = 0[/tex]

[tex] {(x -6 )}^{2} + {(y + 4)}^{2} = 0[/tex]

[tex] = > {(x - 6)}^{2} = 0 = > x - 6 = 0 = > x = 6 \: \in \: \mathbb{Z}[/tex]

[tex] = > {(y + 4)}^{2} = 0 = > y + 4 = 0 = > y = - 4 \: \in \: \mathbb{Z}[/tex]