Question

розв'язати систему рівнянь​

Answer 1

Ответ:

(2,3) и (-2,-3)

Объяснение:

Answer 2

Способ сложения:

$\left \{ {{xy+x^2+xy+y^2=10+15} \atop {xy+y^2-xy-x^2=15-10}} \right. \\\\\left \{ {{x^2+2xy+y^2=25} \atop {y^2-x^2=5}} \right.\\\\\left \{ {{(x+y)^2=25} \atop {(y-x)(y+x)=5}} \right.$

$\left \{ {{x+y=5} \atop {(y-x)(y+x)=5}} \right.\left \{ {{x+y=-5} \atop {(y-x)(y+x)=5}} \right.\\\\\left \{ {{x+y=5} \atop {y-x=1}} \right.\left \{ {x+y=-5} \atop {y-x=-1}} \right.\\\\\left \{ {{2y=6} \atop {x=y-1}} \right.\left \{ {2y=-6} \atop {x=y+1}} \right.\\\\\left \{ {{y=3} \atop {x=2}} \right.\left \{ {y=-3} \atop {x=-2}} \right.$

О т в е т. (2;3);(-2;-3)