Предмет: Алгебра, автор: sss228narhomin228sss

Дробно-рациональное уравнене.

2х.........Х

------ + ------ = 0

Х+1....1-Х

С обяснением!!!!!!!!!

Ответы

Автор ответа: maymr

0

Здравствуйте!

$\frac{2x}{x + 1} + \frac{x}{1 - x} = 0 \\ \\ \frac{2x(1 - x) + x(x + 1)}{(1 - x)(1 + x)} = 0 \\ \\ \frac{3x - x {}^{2} }{1 - x {}^{2} } = 0 \\ \\ 3x - x {}^{2} = 0 \\ x(3 - x) = 0 \\ \\ x = 0 \\ 3 - x = 0 \\ \\ x = 0 \\ x = 3$
Ответ: 0 или 3.

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