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a: \(B=\dfrac{\left(3x+1\right)^2-\left(3x-1\right)^2}{\left(3x-1\right)\left(3x+1\right)}\cdot\dfrac{6x-2}{3}\)
\(=\dfrac{9x^2+6x+1-9x^2+6x-1}{3x+1}\cdot\dfrac{2}{3}\)
\(=\dfrac{12x}{3\left(3x+1\right)}=\dfrac{4x}{3x+1}\)
b: B>-2
=>B+2>0
=>\(\dfrac{4x+6x+2}{3x+1}>0\)
=>\(\dfrac{10x+2}{3x+1}>0\)
=>x>-1/3 hoặc x<-1/5
c: B=3
=>4x=3(3x+1)
=>9x+3=4x
=>5x=-3
=>x=-3/5
Bài 1
3 helpers (thêm s là dc r)
4 megacities
Bài 2
4 D
5 B
8 D
10 D
III
2 puts
5 Will you go
IV
1 Because this movie is very exciting, we want to see it
2 Should your brother work harder, he will win the first prize
3 Because of the bad weather, we stayed at home
4 Unless you get up early tomorrow, you will be late for the meeting
5 Because of his good acting( ko biết acting hay action nx ), the film was a great success
Bài 16:
\(e,\left(6n+11\right)⋮\left(2n+3\right)\\ \Rightarrow\left[3\left(2n+3\right)+2\right]⋮\left(2n+3\right)\\ \Rightarrow2⋮\left(2n+3\right)\\ \Rightarrow2n+3\inƯ\left(2\right)=\left\{-2;-1;1;2\right\}\\ \Rightarrow n\in\varnothing\left(n\in N\right)\\ g,\left(3n+5\right)⋮\left(2n+1\right)\\ \Rightarrow\left(6n+10\right)⋮\left(2n+1\right)\\ \Rightarrow\left[3\left(2n+1\right)+7\right]⋮\left(2n+1\right)\\ \Rightarrow7⋮\left(2n+1\right)\\ \Rightarrow2n+1\inƯ\left(7\right)=\left\{-7;-1;1;7\right\}\\ \Rightarrow n\in\left\{0;3\right\}\left(n\in N\right)\)
c. \(\left(x+2\right)^4-6\left(x+2\right)^2+5=0\)
\(\Leftrightarrow\left(x+2\right)^4-\left(x+2\right)^2-5\left(x+2\right)^2+5=0\)
\(\Leftrightarrow\left(x+2\right)^2\left[\left(x+2\right)^2-1\right]-5\left[\left(x+2\right)^2-1\right]=0\)
\(\Leftrightarrow\left[\left(x+2\right)^2-1\right]\left[\left(x+2\right)^2-5\right]=0\)
\(\Leftrightarrow\left(x+3\right)\left(x+1\right)\left(x+2+\sqrt{5}\right)\left(x+2-\sqrt{5}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+3=0\\x+1=0\\x+2+\sqrt{5}=0\\x+2-\sqrt{5}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-1\\x=-\sqrt{5}-2\\x=\sqrt{5}-2\end{matrix}\right.\)
Vậy: Phương trình có tập nghiệm \(S=\left\{-3;-1;-\sqrt{5}-2;\sqrt{5}-2\right\}\)
5 × 5 = 25
Chúc bạn có một kì nghỉ hè thật vui vẻ