Question

розв'яжіть систему рівнянь​

Answer 1

$\left \{ {{y^{2}+2xy=4} \atop {x=2+y}} \right. \\\\\left \{ {{y^{2}+2y*(2+y)-4=0} \atop {x=2+y}} \right.\\\\\left \{ {{y^{2}+4y+2y^{2}-4=0} \atop {x=2+y}} \right.\\\\\left \{ {{3y^{2}+4y-4=0 } \atop {x=2+y}} \right.\\\\3y^{2}+4y-4=0\\\\D=4^{2}-4*3*(-4)=16+48=64=8^{2}\\\\y_{1}=\frac{-4-8}{6}=-2\\\\y_{2}=\frac{-4+8}{6}=\frac{2}{3}\\\\x_{1}=2+(-2)=2-2=0\\\\x_{2}=2+\frac{2}{3}=2\frac{2}{3}\\\\Otvet:\boxed{(0;-2),(2\frac{2}{3};\frac{2}{3})}$