Question

решите неравенство (фото в закрепе) ​

Answer 1

(2 + √3)(2 - √3) = 1 ⇒ 2 + √3 = 1/(2 - √3)
(2 + √3)^(6 - 5x)/x ≤ (2 - √3)^-x
(2 + √3)^(6 - 5x)/x ≤ (2 + √3)^x
(2 + √3) > 1
(6 - 5x)/x ≤ x
x ≠ 0
(6 - 5x - x²)/x ≤ 0
(x² + 5x - 6)/x ≥ 0
(x + 6)(x - 1)/x ≥ 0
Метод интервалов
------------[-6]++++++++++++(0)---------------[1]++++++++++
x ∈ [-6, 0) U [1, +∞)