Решить уравнение:27/х^2+3х-2/х=3/х^2-3х. Created by vikakombarova. algebra-ru

х^2-3х...

vikakombarova @vikakombarova

June 2022 1 7 Report

Решить уравнение:27/х^2+3х-2/х=3/х^2-3х

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ShirokovP

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ОДЗ
x ≠ - 3; x ≠ 0; x ≠ 3

27(x - 3) - 2(x - 3)(x + 3) - 3(x + 3) = 0
27x - 81 - 2(x^2 - 9) - 3x - 9 = 0
27x - 81 - 2x^2 + 18 - 3x - 9 = 0
- 2x^2 + 24x - 72 = 0 /:(-2)
x^2 - 12x + 36 = 0
(x - 6)^2 = 0
x = 6

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