Question

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

Answer 1

$(x - 6)(x - 6) + (y + 4)(y + 4) = 0$

${(x -6 )}^{2} + {(y + 4)}^{2} = 0$

$= > {(x - 6)}^{2} = 0 = > x - 6 = 0 = > x = 6 \: \in \: \mathbb{Z}$

$= > {(y + 4)}^{2} = 0 = > y + 4 = 0 = > y = - 4 \: \in \: \mathbb{Z}$