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September 2021
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-19/(x+5)^2-6>0
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fbagraev
-19 исчезает, получается
(х+5)² - 6 > 0
x² + 10x + 25 - 6 > 0
x² + 10x + 19 > 0
D=10² - 4 × 1 × 19 = 100 - 76 = 24 = 2√6
x1= -5 + √6; x2= -5 - √6
Ответ: (-∞;-5-√6)
; (-5-√6; +∞)
5 votes
Thanks 4
26355935
почему -19 исчезает?
fbagraev
потому что -19 не равно 0
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Answers & Comments
(х+5)² - 6 > 0
x² + 10x + 25 - 6 > 0
x² + 10x + 19 > 0
D=10² - 4 × 1 × 19 = 100 - 76 = 24 = 2√6
x1= -5 + √6; x2= -5 - √6
Ответ: (-∞;-5-√6); (-5-√6; +∞)