помогите,пожалуйста [tex]left\{ {{x+y+xy=11} \atop {x^2+xy+y^2=19}} \right.[/tex]. Created by Masha31rus2108. algebra-ru

tex]...

Masha31rus2108 @Masha31rus2108

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помогите,пожалуйста [tex]left\{ {{x+y+xy=11} \atop {x^2+xy+y^2=19}} \right.[/tex]

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Матов

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$x+y+xy=11\\
x^2+y^2+xy=19\\
\\
(x+y)^2=19+xy\\
(11-xy)^2=19+xy\\
121-22xy+x^2y^2=19+xy\\
xy=t\\
t^2-23t+102=0\\
t=6\\\\
xy=6\\
y=\frac{6}{x}\\
\frac{6}{x}+x+6=11\\
x^2-5x+6=0\\
 x=2;3\\
 y=3;2
$

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napishite programmu vychislyayushuyu dlinu okruzhnosti s diametrom d

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