4x-6/x-1<=0 решитььь

Question

4x-6/x-1<=0 решитььь

Answer 1

4x - 6/x - 1 ≤ 0

(4x² - x - 6)/x ≤ 0

D = 1 + 96 = 97

x₁ = (1 - √97)/8

x₂ = (1 + √97)/8

__-__[(1 - √97)/8]____+___(0)____-____[(1 + √97)/8]____+______

Ответ: x∈(-∞; (1 - √97)/8] U (0; (1 - √97)/8]