Question

помогите решить систему уравнений

Answer 1

$left { {{sqrt[3]{x}-sqrt[3]{y}=2} atop {xy=27}} right. ; ; ; u=sqrt[3]{x}; ,; ; v=sqrt[3]{y}; ; ; left { {{u-v=2} atop {u^3v^3=27}} right. ; left { {{u-v=2} atop {(uv)^3=27}} right. \\ left { {{u=v+2} atop {uv=3}} right. ; left { {{u=v+2} atop {(v+2)v=3}} right. ; left { {{u=v+2} atop {v^2+2v-3=0}} right. ; left { {{u_1=-1,; u_2=3} atop {v_1=-3,; v_2=1}} right. \\ left { {{sqrt[3]{x}=-1} atop {sqrt[3]{y}=-3}} right. ; ; ; ili; ; ; left { {{sqrt[3]{x}=3} atop {sqrt[3]{y}=1}} right.$

$left { {{x=-1} atop {y=-27}} right. ; ; ; ili; ; ; left { {{x=27} atop {y=1}} right. \\Otvet:; ; (-1,-27); ,; ; (27,1); .$