Предмет: Алгебра, автор: ak250705

Решите систему уравнений

Приложения:

Ответы

Автор ответа: Аноним

Ответ:

-14

Объяснение:

$\left \{ {{x - y = 4} \atop {x^{3} - x^{2} y =100}} \right.$ $\left \{ {{x - y=4} \atop {x^{2} (x - y)=100}} \right.$ ⇒ $4x^{2} = 100$

$4x^{2} = 100|:4$

$x^{2} = 25$

$x_{1} = 5; x_{2} = -5$

x - y = 4 ⇒ y = x - 4;

$y_{1} = x_{1} - 4 = 5 - 4 = 1;$

$y_{2} = x_{2} - 4 = -5 - 4 = -9;$

(5;1) или (-5;-9)

Cумма $(x_{1};y_{1} )$ : $x_{1} + y_{1} = 1 + 5 = 6;$

Сумма $(x_{2} ;y_{2} )$ : $x_{2} + y_{2} = -5 - 9 = -14;$

6 < -14 ⇒ Cумма $(x_{1};y_{1} )$ > Сумма $(x_{2} ;y_{2} )$

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