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natalinvp
@natalinvp
August 2021
1
18
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Решите неравенство:
х³ + 2х² - х >0
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tausinv
Verified answer
х³ + 2х² - х >0
x(
х² + 2x - 1) > 0
x = 0
х² + 2x - 1 = 0
x1,2 = -2 +- sqrt(4+4)/2 = -1 +- sqrt(2)
Три точки: -1 - sqrt(2) 1 - sqrt(2) и 0
знаки:
- -1 - sqrt(2) + 1 - sqrt(2) - 0 +
Ответ:
-1 -sqrt(2) < x < 1 - sqrt(2) и x > 0
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Answers & Comments
Verified answer
х³ + 2х² - х >0x(х² + 2x - 1) > 0
x = 0
х² + 2x - 1 = 0
x1,2 = -2 +- sqrt(4+4)/2 = -1 +- sqrt(2)
Три точки: -1 - sqrt(2) 1 - sqrt(2) и 0
знаки:
- -1 - sqrt(2) + 1 - sqrt(2) - 0 +
Ответ:
-1 -sqrt(2) < x < 1 - sqrt(2) и x > 0