x- 10 = 1 tim x
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Bạn Nguyễn Đoan Hạnh cho mình bổ sung nhé
Ư(9)={+-1;+-3;+-9}
Nếu x+1=-1 => x=-2
Nếu x+1=-3 => x = -4
Nếu X+1=-9 => x = -10
x+10 la boi cua x+1
suy ra (x+1)+9 la boi cua x+1
suy ra 9 la boi cua x+1
U(9)={1;3;9}
Neu x+1=1 thi x=0
Neu x+1=3 thi x=2
Neu x+1=9 thi x=8
Vay x thuoc {0;2;8}
\(\left(1-\frac{3}{10}-x\right):\left(\frac{19}{10}-1-\frac{2}{5}\right)+\frac{4}{5}=1\)
\(\Rightarrow\left(\frac{7}{10}-x\right):\frac{1}{2}=\frac{1}{5}\\ \frac{7}{10}-x=\frac{1}{5}.\frac{1}{2}\\ \frac{7}{10}-x=\frac{1}{10}\\ \Rightarrow x=\frac{7}{10}-\frac{1}{10}=\frac{3}{5}\)
Th1:x - 1 = 0 => x= 1
Th2: x - 10 = 0 => x = 10
Th3: x = 0
VẬy x thuộc {1;10;0}
\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+.........+\dfrac{2}{x\left(x+1\right)}=\dfrac{2016}{2017}\)
\(\Leftrightarrow\dfrac{2}{6}+\dfrac{2}{12}+\dfrac{2}{20}+........+\dfrac{2}{x\left(x+1\right)}=\dfrac{2016}{2017}\)
\(\Leftrightarrow\dfrac{2}{2.3}+\dfrac{2}{3.4}+\dfrac{2}{4.5}+..........+\dfrac{2}{x\left(x+1\right)}=\dfrac{2016}{2018}\)
\(\Leftrightarrow2\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=\dfrac{2016}{2018}\)
\(\Leftrightarrow2\left(\dfrac{1}{2}-\dfrac{1}{x+1}\right)=\dfrac{2016}{2018}\)
\(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{x+1}=\dfrac{1008}{2018}\)
\(\Leftrightarrow\dfrac{1}{x+1}=\dfrac{1}{2018}\)
\(\Leftrightarrow x+1=2018\)
\(\Leftrightarrow x=2017\)
Vậy ..
\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{2}{x\left(x+1\right)}=\dfrac{2016}{2018}\)
\(\dfrac{2}{6}+\dfrac{2}{12}+\dfrac{2}{20}+...+\dfrac{2}{x\left(x+1\right)}=\dfrac{1008}{1009}\)
\(2.\left(\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{4.5}+...+\dfrac{1}{x\left(x+1\right)}\right)=\dfrac{1008}{1009}\)
\(2.\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{x\left(x+1\right)}\right)=\dfrac{1008}{1009}\)
\(2.\left(\dfrac{1}{2}-\dfrac{1}{x-1}\right)\) = \(\dfrac{1008}{1009}\)
\(\dfrac{1}{2}-\dfrac{1}{x-1}=\dfrac{504}{1009}\)
\(\dfrac{1}{x-1}=\dfrac{1}{2018}\)
\(x-1=2018\)
\(x=2019\)
|x+1|+|x+2|+....+|x+10|=7x
= | 10x | + (1+2+3....+10)=7x
=> | 10x | + 55 =7x
=> 55 = -3x
=> x= 55 : (-3)=-18,333..
hình như đề sai
\(\left(x+3\right)\left(2x-1\right)-\left(x-4\right)\left(2x+1\right)=10\)
\(\Leftrightarrow2x^2-x+6x-3-\left(2x^2+x-8x-4\right)=10\)
\(\Leftrightarrow2x^2-x+6x-3-2x^2-x+8x+4=10\)
\(\Leftrightarrow12x+1=10\)
\(\Leftrightarrow12x=9\)
\(\Leftrightarrow x=\frac{9}{12}\)
\(\Rightarrow x=\frac{3}{4}\)
Vậy \(x=\frac{3}{4}\)
x-10=1
x =1+10
x =11
Chúc bạn học giỏi
x-10=1
x=1+10
x=11