Ответ готов......................
2x - 1/x + 4 < 0
(2x² - 1 + 4x)/x < 0
2x² + 4x - 1 = 0
D = 16 + 8 = 24 = (2√6)²
x₁ = (-4 - 2√6)/4 = -1 - 0,5√6
x₂ = -1 + 0,5√6
x = 0
____-___(-1 - 0,5√6)____+____(0)____-____(-1 + 0,5√6)__+____
Ответ: x ∈ (-∞; -1 - 0,5√6) U (0; -1 + 0,5√6)
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Verified answer
Ответ готов......................
Verified answer
2x - 1/x + 4 < 0
(2x² - 1 + 4x)/x < 0
2x² + 4x - 1 = 0
D = 16 + 8 = 24 = (2√6)²
x₁ = (-4 - 2√6)/4 = -1 - 0,5√6
x₂ = -1 + 0,5√6
x = 0
____-___(-1 - 0,5√6)____+____(0)____-____(-1 + 0,5√6)__+____
Ответ: x ∈ (-∞; -1 - 0,5√6) U (0; -1 + 0,5√6)