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@Медуха
March 2022
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\frac{a-2}{a-1} > 1
Решите неравенство.
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nKrynka
Решение
{a-2}{a-1} > 1
a
² - 3a + 2 - 1 > 0
a² - 3a + 1 > 0
a² - 3a + 1 = 0
D = 9 - 4*1*1 = 5
a₁ = (3 - √5)/2
a₂ =
(3 + √5)/2
---///////////-------------------////////////////////////////------->
-∞ (3 - √5)/2 (3 + √5)/2 +∞
x
a
∈ (- ∞; (3 - √5)/2) ∪
((3 + √5)/2 ; +
∞)
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Answers & Comments
{a-2}{a-1} > 1
a² - 3a + 2 - 1 > 0
a² - 3a + 1 > 0
a² - 3a + 1 = 0
D = 9 - 4*1*1 = 5
a₁ = (3 - √5)/2
a₂ = (3 + √5)/2
---///////////-------------------////////////////////////////------->
-∞ (3 - √5)/2 (3 + √5)/2 +∞ x
a ∈ (- ∞; (3 - √5)/2) ∪((3 + √5)/2 ; + ∞)