Question

Помогите решить систему управления​

Answer 1

Из первого уравнения выражаем: х^2=8+у^2
2(8+у^2)+2у^2=20
16+4у^2=20
У^2=1
У=1, у=-1
Х^2=9
Х=3, х=-3

Пишите поочерёдно все корни (3;1), (3;-1); (-3;1); (-3;-1)

Answer 2

$\left \{ {{x^{2}-y^{2}=8} \atop {2x^{2}+2y^{2}=20}} \right.\\\\+\left \{ {{x^{2}-y^{2}=8} \atop {x^{2}+y^{2}=10}} \right. \\-------\\2x^{2}=18\\\\x^{2}=9\\\\x_{1}=-3\\\\x_{2}=3\\\\y^{2}=x^{2}-8=9-8=1\\\\y_{1}=-1\\\\y_{2}=1\\\\Otvet:\\\\1)\left \{ {{x=3} \atop {y=1}} \right.\\\\2)\left \{ {{x=3} \atop {y=-1}} \right.\\\\3)\left \{ {{x=-3} \atop {y=1}} \right.\\\\4)\left \{ {{x=-3} \atop {y=-1}} \right.$