Question

решите систему уравнений 1 ,х2+у2=74 и х-у=2

Answer 1

$left { {{x^2+y^2=74} atop {x-y=2}} right. \ x=y+2 \ (y+2)^2+y^2=74 \ y^2+4y+4+y^2=74 \ 2y^2+4y-70=0 \ y^2+2y-35=0 \ D=1+35=36 \ y_1=-1-6=-7 \ y_2=-1+6=5 \ x_1=-7+2=-5 \ x_2=5+2=7$
Ответ: (-5; -7); (7; 5)