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mary1003
@mary1003
July 2021
1
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Выяснить при каких значениях х имеет смысл выражение:
√-3x^2+x+4
5/√x^2+6x+9
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oganesbagoyan
Verified answer
- 3x² +x +4≥0
a)3x² -x -4 ≤ 0;
D =1² -4*3(*-4) =49 =7² √D =7 ;
x₁ =(1-7)/6 =-1 ;
x₂=(1+7)/6 =4/3.
(x+1)(x-4/3) ≤ 0 ;
x∈[ -1;4/3].
ответ :[ -1;4/3].
---------------------
b) 5 / √x^2+6x+9
x²+6x+9 >0 ;
(x+3)² >0 ⇒x≠ - 3.
ответ : ( -∞; -3) U (-3;.∞).
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Answers & Comments
Verified answer
- 3x² +x +4≥0a)3x² -x -4 ≤ 0;
D =1² -4*3(*-4) =49 =7² √D =7 ;
x₁ =(1-7)/6 =-1 ;
x₂=(1+7)/6 =4/3.
(x+1)(x-4/3) ≤ 0 ;
x∈[ -1;4/3].
ответ :[ -1;4/3].
---------------------
b) 5 / √x^2+6x+9
x²+6x+9 >0 ;
(x+3)² >0 ⇒x≠ - 3.
ответ : ( -∞; -3) U (-3;.∞).