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
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Verified answer
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