Автор - VictDrag

Помогите решить систему:
x-y=-5
x^2-2xy-y^2=17

Ответ

Проверено экспертом

Автор - Alexandr130398
 left { {{x-y=-5} atop {x^2-2xy-y^2=17}} right.  \ <br />
 left { {{x=y-5} atop {x^2-2xy+y^2-2y^2=17}} right. \ <br />
 left { {{x=y-5} atop {(x-y)^2-2y^2=17}} right. \ <br />
(y-5-y)^2-2y^2=17 \ <br />
25-17=2y^2 \ <br />
y^2=8/2=4 \ <br />
y=2; -2 \ <br />
x=y-5=2-5=-3;-2-5=-7
отв:(-3;2); (-7;-2)

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