Question

решите уравнение 1) 6х-7/х-2 -х+8/х-2=0 2)х/х+6 - 36/х^2 +6х=0

Answer 1

Объяснение:

1)

(6х - 7)/(x - 2) - (x + 8)/(x - 2) = 0

(6x - 7 - x - 8)/(x - 2) = 0

(5x - 15)/(x - 2) = 0

5x = 15 при х ≠ 2

х = 3

2)

х/(x + 6) - 36/(x² + 6x) = 0

x/(x + 6) - 36/(x·(x + 6)) = 0

(x² - 36)/(x·(x + 6)) = 0

(x - 6)·(x + 6)/(x·(x + 6)) = 0

(x - 6) / x = 0, при x ≠ -6

x - 6 = 0, при x ≠ 0

x = 6