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\(x-\frac{x}{2}+\frac{x}{2}-\frac{x}{3}+...+\frac{x}{2006}-\frac{x}{2007}=\frac{2006}{2007}\)
\(x-\frac{x}{2007}=\frac{2006}{2007}\)
\(\frac{2007x-x}{2007}=\frac{2006}{2007}\)
\(\frac{2006x}{2007}=\frac{2006}{2007}\Rightarrow2006x=2006\)
=>x=1
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mình giúp đc câu b thôi nha
b. x + (x+2) + (x+4) +...+ (x+50)=676 (26 số hạng)
= (x + x + x + x +.....+x) + (2 + 4 + 6 + ..... + 50) = 676 (26 x ; 25 số hạng)
= 26x + ( (50 + 2) * 25 : 2) = 676
= 26x + 650 = 676
26x = 676 - 650
26x = 26
x = 26 : 26
=> x = 1
Bạn tham khảo nhé!!!!!
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\(\left|2\right|+\left|x+1\right|=3x-2006\) \(\Leftrightarrow2+\left|x+1\right|=3x-2006\)
\(\Leftrightarrow2008+\left|x+1\right|=3x\left(1\right).\)
Vì \(\left|x+1\right|\ge0\) với mọi x nên \(2008+\left|x+1\right|>0.\)
\(\Rightarrow3x>0\Rightarrow x>0\Rightarrow x+1>0\Rightarrow\left|x+1\right|=x+1\)(theo tính chất của giá trị tuyệt đối).
Do đó \(\left(1\right)\Leftrightarrow2008+x+1=3x\)
\(\Leftrightarrow x+2009=3x\)
\(\Leftrightarrow2x=2009\)
\(\Leftrightarrow x=\frac{2009}{2}\)(thoả mãn x > 0).
Vậy \(x=\frac{2009}{2}.\)
Chúc bạn học tốt!
\(\left|2\right|+\left|x+1\right|=3x-2006\)
\(\Leftrightarrow\left|x+1\right|=3x-2008\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=3x-2008\\x+1=2008-3x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{2019}{2}\\x=\frac{2017}{4}\end{cases}}\)
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\(\dfrac{2006.125+1000}{126.2006-1006}\)
\(=\)\(\dfrac{2006.125+1000}{(125+1).2006-1006}\)
\(=\)\(\dfrac{2006.125+1000}{125.2006+1.2006-1006}\)
\(=\)\(\dfrac{2006.125+1000}{125.2006+2006-1006}\)
\(=\)\(\dfrac{2006.125+1000}{125.2006+1000}\)
\(=\) 1
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2006 x 125 + 1000/126 x 2006 - 1006
= 2006 . 125 + 1000/125 . 2006 + 1 .2006 - 1006
= 2006 . 125 + 100/125 . 2006 + 1000
= 1
2006 x 125 + 1000/126 x 2006 - 1006
= 2006 x 125 + 1000/125 x 2006 + 1 x 2006 - 1006
= 2006 x 125 + 1000/125 x 2006 + 1000
= 1
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sai đề rồi bạn , x2006 = x2 là vô lý
Khi x=0