Question

x-y=4,xy+y2=6 решите систему уравнений

Answer 1

$left { {{x-y=4} atop {xy+ y^{2}=6 }} right. \ left { {{x=4+y} atop {(4+y)y+ y^{2} =6}} right. \ left { {{x=4+y} atop {4y+ y^{2}+ y^{2} =6 }} right. \ left { {{x=4+y} atop { y^{2} +4y-6=0}} right. \ y^{2} +4y-6=0\ D=64 \ y1=-3 \ y2=1 \ x-(-3)=4 \ x=1 \ x-1=4 \ x=5 \ (1;-3),(5;1)$