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1. \(\Leftrightarrow\left(2x-1\right)\left(3x+1\right)< 0\)
\(\Rightarrow-\frac{1}{3}< x< \frac{1}{2}\)
2. \(\Leftrightarrow\left(x-2\right)\left(3-2x\right)>0\)
\(\Rightarrow\frac{3}{2}< x< 2\)
3. \(\Leftrightarrow\left(5x-3\right)^2>0\)
\(\Rightarrow x\ne\frac{3}{5}\)
4. \(\Leftrightarrow-3\left(x-\frac{1}{6}\right)-\frac{59}{12}< 0\)
\(\Rightarrow x\in R\)
5. \(\Leftrightarrow2\left(x-1\right)^2+5\ge0\)
\(\Rightarrow x\in R\)
6. \(\Leftrightarrow\left(x+2\right)\left(8x+7\right)\le0\)
\(\Rightarrow-2\le x\le-\frac{7}{8}\)
7.
\(\Leftrightarrow\left(x-1\right)^2+2>0\)
\(\Rightarrow x\in R\)
8. \(\Leftrightarrow\left(3x-2\right)\left(2x+1\right)\ge0\)
\(\Rightarrow\left[{}\begin{matrix}x\le-\frac{1}{2}\\x\ge\frac{2}{3}\end{matrix}\right.\)
9. \(\Leftrightarrow\frac{1}{3}\left(x+3\right)\left(x+6\right)< 0\)
\(\Rightarrow-6< x< -3\)
10. \(\Leftrightarrow x^2-6x+9>0\)
\(\Leftrightarrow\left(x-3\right)^2>0\)
\(\Rightarrow x\ne3\)
1: =>(x+2)^2-3|x+2|=0
=>|x+2|(|x+2|-3)=0
=>x+2=0 hoặc x+2=3 hoặc x+2=-3
=>x=-2; x=1; x=-5
1) \(-5x+10\ge0\Leftrightarrow-5x\ge-10\Leftrightarrow x\le2\)
(x2+1)2+3x(x2+1)+2x2=0
<=> x4+1+2x2+3x3+3x+2x2=0
<=> x4+3x3+4x2+3x+1=0
<=> x4+x3+2x3+2x2+2x2+2x+x+1=0
<=> (x+1)(x3+2x2+2x+1)=0
<=> (x+1)(x3+x2+x2+x+x+1)=0
<=> (x+1)2(x2+x+1)=0
<=> \(\left(x+1\right)^2\left[\left(x+\frac{1}{2}\right)^2+\frac{3}{4}\right]=0\)
Mà \(\left(x+\frac{1}{2}\right)^2+\frac{3}{4}>0\forall x\)
=> x + 1 = 0
=> x = -1
Vậy ...
a, \(4x-8=0\Leftrightarrow x=2\)
b, \(-3x-9=0\Leftrightarrow x=-3\)
c, \(7x+2x-9=0\Leftrightarrow5x-9=0\Leftrightarrow x=\frac{9}{5}\)
d, \(-3x^2+5x+8=0\Leftrightarrow\left(x+1\right)\left(3x-8\right)=0\Leftrightarrow\orbr{\begin{cases}x=-1\\x=\frac{8}{3}\end{cases}}\)
cũng là phương trình thật :Đ
\(4x-8=0< =>x=\frac{8}{4}=2\)
\(-3x-9=0< =>x=\frac{9}{-3}=-3\)
\(7x+2x-9=0< =>9x-9=0< =>x=\frac{9}{9}=1\)
\(-3x^2+5x+8=0< =>-3x^2-3x+8x+8=0\)
\(< =>-3x\left(x+1\right)+8\left(x+1\right)=0\)
\(< =>\left(x+1\right)\left(8-3x\right)=0\)
\(< =>\orbr{\begin{cases}x+1=0\\8-3x=0\end{cases}< =>\orbr{\begin{cases}x=-1\\x=\frac{8}{3}\end{cases}}}\)