Question

Помогите решить систему

Answer 1

$left { {{x+y=7} atop {x^2+y^2=9+2xy}} right.$

$left { {{x=7-y} atop {(7-y)^2+y^2=9+2y(7-y)}} right. 49-14y+y^2+y^2=9+14y-2y^2   4y^2-28y+40=0 |(:4) y^2-7y+10=0 D= 49-40= 9$

y₁= 7+3/2= 5

у₂= 7 - 3 /2 = 2

х₁= 2

х₂= 5

Ответ: (2;5) и (5;2)