01.04.2022

16/x-2 — 6/x = 1решите уравнение

Вопрос школьника по предмету Алгебра

16/x-2 — 6/x = 1
решите уравнение

Ответ учителя по предмету Алгебра

ОДЗ

x ≠ 0; x ≠ 2

16x — 6(x — 2) — x(x — 2) = 0

16x — 6x +12 — x^2 + 2x = 0

— x^2 + 12x = 0 /: (-1)

x^2 — 12x = 0

x (x — 12) = 0

1) x = 0 ∉ ОДЗ

2) x = 12

Ответ

12

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