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sergsmi
@sergsmi
August 2021
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Помогите с дз. Только распишите все.
[tex](\frac{ \pi}{2} )^ \frac{ x^{2}-x-2}{ x^{2} -4} \ \textless \ arcSin1[/tex]
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nKrynka
Решение
(π/2)^[(x² - x - 2)/(x² - 4)] < arcsin1
(π/2)^[(x² - x - 2)/(x² - 4)] < π/2
так как π/2 > 1, то
(x² - x - 2)/(x² - 4) < 1
x² - x - 2 < x² - 4
x² - 4 ≠ 0, x² ≠ 4, x₁ ≠ - 2, x₂ ≠ 2
- x < - 4 + 2
- x < - 2
x > 2
x ∈ (2; + ∞)
1 votes
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Answers & Comments
(π/2)^[(x² - x - 2)/(x² - 4)] < arcsin1
(π/2)^[(x² - x - 2)/(x² - 4)] < π/2
так как π/2 > 1, то
(x² - x - 2)/(x² - 4) < 1
x² - x - 2 < x² - 4
x² - 4 ≠ 0, x² ≠ 4, x₁ ≠ - 2, x₂ ≠ 2
- x < - 4 + 2
- x < - 2
x > 2
x ∈ (2; + ∞)