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\(|\frac{1}{2}x+1|-4=0\)
\(\Rightarrow|\frac{1}{2}x+1|=4\)
\(\Rightarrow\orbr{\begin{cases}\frac{1}{2}x+1=4\\\frac{1}{2}x+1=-4\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\frac{1}{2}x=3\\\frac{1}{2}x=-5\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=6\\x=-10\end{cases}}\)
Vậy x = 6 hoặc x = -10
_Chúc bạn học tốt_
2C = 4x+2/x^2+2
2C + 1 = 4x+2+x^2+2/x^2+2
= x^2+4x+4/x^2+2
= (x+2)^2/x^2+2 > = 0
<=> 2C >= -1
<=> C >= -1/2
Dấu "=" xảy ra <=> x+2=0 <=> x=-2
Vậy Min của C = -1/2 <=> x=-2
2C = 4x+2/x^2+2
2C + 1 = 4x+2+x^2+2/x^2+2
= x^2+4x+4/x^2+2
= (x+2)^2/x^2+2 > = 0
<=> 2C >= -1
<=> C >= -1/2
Dấu "=" xảy ra <=> x+2=0 <=> x=-2
Vậy Min của C = -1/2 <=> x=-2
Tk mk nha
\(\frac{5x-1}{10}+\frac{2x+3}{6}=\frac{x-8}{15}-\frac{x}{30}\)
\(\Rightarrow\frac{3\left(5x-1\right)}{30}+\frac{5\left(2x+3\right)}{30}=\frac{2\left(x-8\right)}{30}-\frac{x}{30}\)
\(\Rightarrow15x-3+10x+15=2x-16-x\)
\(\Rightarrow24x=-28\)
\(\Rightarrow x=-\frac{7}{6}\)
A=(\(\frac{x^3-1}{x\left(x-1\right)}\)-\(\frac{x^3-1}{x\left(x+1\right)}\)) : \(\frac{2\left(x^2-2x+1\right)}{\left(x-1\right)\left(x+1\right)}\)ĐKXĐ: x\(\ne\) -1, 1
A=\(\frac{1}{x\left(x+1\right)}\)x \(\frac{\left(x-1\right)\left(x+1\right)}{2\left(x-1\right)\left(x-1\right)}\)
A=\(\frac{1}{2x^2-2x}\)
B=\(\frac{x+1}{x-2}\)-\(\frac{2x}{x+2}\)-\(\frac{2+5x}{x^2-4}\)ĐKXĐ : x\(\ne\)2, -2
B=\(\frac{x+1}{x-2_{ }}\)-\(\frac{2x}{x+2}\)-\(\frac{2+5x}{\left(x-2\right)\left(x+2\right)}\)
B=\(\frac{x^2+3x+2}{\left(x-2\right)\left(x+2\right)}\)-\(\frac{2x^2-4x}{\left(x-2\right)\left(x+2\right)}\)-\(\frac{2+5x}{\left(x-2\right)\left(x+2\right)}\)
B=\(\frac{-x^2+2x}{\left(x-2\right)\left(x+2\right)}\)
B=\(\frac{-x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}\)
B=\(\frac{-x}{x+2}\)
\(2\frac{2}{x-1}=1+\frac{2x}{x+2}\) \(\left(x\ne1;x\ne-2\right)\)
\(\Rightarrow\frac{2\left(x-1\right)+2}{x-1}=\frac{\left(x+2\right)+2x}{x+2}\)\(\Rightarrow2x^2+4x=3x^2+2x-3x+2\)
\(\Rightarrow\frac{2x-2+2}{x-1}=\frac{x+2+2x}{x+2}\)
\(\Rightarrow\frac{2x}{x-1}=\frac{3x+2}{x+2}\)
\(\Rightarrow2x\left(x+2\right)=\left(x-1\right)\left(3x+2\right)\)
\(\Rightarrow2x^2+4x=x\left(3x+2\right)-1\left(3x+2\right)\)
\(\Rightarrow2x^2+4x=x\left(3x+2\right)-1\left(3x+2\right)\)
\(2\frac{2}{x-1}=1+\frac{2x}{x+2}\) ĐKXĐ: \(\hept{\begin{cases}x\ne1\\x\ne-2\end{cases}}\)
=> \(\frac{2\left(x-1\right)+2}{x-1}=\frac{x+2+2x}{x+2}\)
=> \(\frac{2\left(x-1+1\right)}{x-1}=\frac{x+2\left(x+1\right)}{x+2}\)
=> \(\frac{2x}{x-1}=\frac{x+2\left(x+1\right)}{x+2}\)
=> \(2x\left(x+2\right)=x+2\left(x+1\right)\left(x-1\right)\)
=> \(2x^2+4x=x+2\left(x^2-1\right)\)
=> \(2x^2+4x=x+2x^2-2\)
=> \(2x^2+4x-x-2x^2+2=0\)
=> \(3x+2=0\)
=> \(3x=-2\)
=> \(x=-\frac{2}{3}\)