Автор - danazharylkasyn

x^2y+xy^2=6
xy+x+y=3
(система)

Ответ

Автор - fasalv
<br />
  left { {{x^2y+xy^2=6} atop {xy+x+y=3}} right. ;<br />
left { {{xy(x+y)=6} atop {xy=3-(x+y)}} right.;<br />
left { {{xy=frac{6}{x+y}} atop {xy=3-(x+y)}} right.
Замена xy = a, x + y = b
left { {{ab=6} atop {a=3-b}} right.<br />
\(3-b)b=6\<br />
b^2-3b+6 = 0;\D < 0
Решений нет

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