6 дробь x + 6 дробь x+1 =5. Created by pashegurinovich. algebra-ru

6 дробь x + 6 дробь x+1 =5...

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6 дробь x + 6 дробь x+1 =5

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$\frac{6}{x } + \frac{6}{x + 1} = 5 \\$

ОДЗ: Х =/ - 1 ; 0

$6(x + 1) + 6x = 5x(x + 1) \\ 6x + 6 + 6x = 5 {x}^{2} + 5x \\ 5 {x}^{2} - 7x - 6 = 0 \\$
D = 49 + 4•5•6 = 49 + 120 = 169

x1 = ( 7 - 13 ) / 10 = - 6 / 10 = - 0,6

x2 = ( 7 + 13 ) / 10 = 20 / 10 = 2

ОТВЕТ: - 0,6 ; 2.

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lena25073 Решение на фото......

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