Question

Помогите решить систему уравнений(10кл)

Answer 1

$left { {{x-2y=8} atop {x^2+2y^2=22}} right. \ \ 1. \ x-2y=8 \ x=8+2y \ \ 2. \ (8+2y)^2+2y^2=22 \ 64+32y+4y^2+2y^2-22=0 \ 6y^2+32y+42=0|:2 \ 3y^2+16y+21=0 \ D=256-4*3*21=256-252=4 \ \ x1= frac{-16+2}{6}= frac{-14}{6} =- frac{7}{3} =-2 frac{1}{3} \ \ x2= frac{-16-2}{6} =-18/6=-3 \ \ 3. \ \ left { {{x=-2 frac{1}{3} } atop {y=3 frac{1}{3} }} right. \ left { {{x=-3} atop {y=2}} right.$

Ответ: (-2 1/3; 3 1/3)(-3;2)