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Kadilya
@Kadilya
July 2022
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Дана функция у(х)=-х^2+2х+3. Решите неравенство у(х)>0
А)(-∞:+∞)
Б)х>-1
С)х<3
Д)-1<х<3
Е)-3<х<1
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Mihail001192
Verified answer
Разложим на множители левую часть:
D = 2² - 4×( -1 )× 3 = 4 + 12 = 16 = 4²
x = -1 ; 3
Решим методом интервалов:
++++++°( -1 )------------°( 3 )+++++++> х
Значит, х € ( -1 ; 3 )
ОТВЕТ: Д
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Answers & Comments
Verified answer
Разложим на множители левую часть:
D = 2² - 4×( -1 )× 3 = 4 + 12 = 16 = 4²
x = -1 ; 3
Решим методом интервалов:
++++++°( -1 )------------°( 3 )+++++++> х
Значит, х € ( -1 ; 3 )
ОТВЕТ: Д