Question

Помогите!!!!!!!!!!!!!Отмечу лучшим
$left { {{ x^{2} +y^2=36} atop {x^3-y^3 =36(x-y)}} right.$

Answer 1

$x^2+y^2=36\ x^3-y^3=36(x-y)\\ x^2+y^2=36\ (x-y)(x^2+xy+y^2)=36(x-y)\\ x^2+y^2=36\ (x-y)(x^2+xy+y^2-36)=0\ \ x=y\ 2x^2=36\ x=y=+/-3sqrt{2} \\ xy=0\ x=0\ y=-+6$