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Задать вопрос экспертам

Консультация № 176739

17.02.2010, 22:16

0.00 руб.

17.02.2010, 23:23

0 3 1

Образование

здравствуйте уважаемые эксперты помогите пожалуйста с решением:

Обсуждение

давно

Специалист
246813
155

17.02.2010, 23:05

общий

18.02.2010, 00:23

это ответ

Здравствуйте, bestwick.
10[$8730$](xy)+3x-3y=58,
x-y=6;
Выразим x из второго выражения и подставим в первое
x=y+6;
10[$8730$]((y+6)y)+3(y+6)-3y=58;
10[$8730$](y²+6y)+3y+18-3y=58;
10[$8730$](y²+6y)=40;
[$8730$](y²+6y)=4;
Возведем обе части в квадрат
y²+6y=16;
y²+6y-16=0;
По теореме Виета получаем
y₁=-8,y₂=2;
Подставляем полученные корни во второе выражение
x₁=-8+6=-2, x₂=2+6=8
(-2;-8)[$8746$](8;2)
Всего доброго!

давно

Орловский Дмитрий

Мастер-Эксперт
319965
1463

17.02.2010, 23:40

общий

bestwick:
В первом ответе у Lfin опечатка: вместо x=-2, y=8 нужно x=-2, y=-8

давно

Специалист
246813
155

18.02.2010, 00:05

общий

Да, опечатка в ответе
(-2;-8)[$8746$](8;2)

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