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Từ GT ; ta có : \(\left(x-1\right)\left(\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}\right)=224\)
\(\Rightarrow\left(x-1\right)\left(\dfrac{1}{3.4}+\dfrac{1}{4.5}+...+\dfrac{1}{7.8}+\dfrac{1}{8.9}\right)=224\)
\(\Rightarrow\left(x-1\right)\left(\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}\right)=224\)
\(\Rightarrow\left(x-1\right)\left(\dfrac{1}{3}-\dfrac{1}{9}\right)=224\)
\(\Rightarrow\left(x-1\right).\dfrac{2}{9}=224\)
\(\Rightarrow\left(x-1\right)=1008\)
\(\Rightarrow x=1009\)
Vậy ...
\(3\left(x-1\right)-2\left(x+2\right)=3\left(x+2\right)-2x\left(2+3x\right)\)
\(\Rightarrow3\left(x-1\right)-3\left(x+2\right)=2\left(x+2\right)-2x\left(2+3x\right)\)
\(\Rightarrow3\left(x-1-x-2\right)=2\left(x+2\right)-2\left(2x+3x^2\right)\)
\(\Rightarrow3\left(-3\right)=2\left(x+2-2x-3x^2\right)\)
\(\Rightarrow-9=2\left(2-x-3x^2\right)\)
\(\Rightarrow2-x-3x^2=-4,5\)
\(\Rightarrow x-3x^2=6,5\)(hình như sai đề)
a: =>52x-3-104=156
=>52x-107=156
=>52x=263
hay x=263/52
b: =>6x-3+24-2x-3x=31
=>x+21=31
hay x=10
5x/35=x+16/35
=> 5x=x+16
5x-x=16
4x=16 thì x=4.
Hoặc là nhân chéo thì cũng ra
\(\frac{x}{7}=\frac{x+16}{35}\)
=> \(\frac{5x}{35}=\frac{x+16}{35}\)
=>5x=x+16
5x-x=16
4x=16
x=16:4
x=4
Ủng hộ mk nha
x^3=x^5
x^3-x^5=0
x^3-x^3.x^2=0
x^3.(1-x^2)=0
suy ra: x^3=0 hoặc 1-x^2=0
x^3=0^3 hoặcx^2=0+1
x=0 hoặc x^2=1
x=0 hoặc x^2=1^2
x=0 hoặc x=1
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+..+\frac{1}{x\left(x+1\right):2}=\frac{2018}{2019}\)
\(=\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+..+\frac{2}{x\left(x+1\right)}\)
\(=2\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+..+\frac{1}{x\left(x+1\right)}\right)\)\(=\frac{2018}{2019}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{2018}{2019}:2\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2018}{4038}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{2}-\frac{2018}{4038}=\frac{1}{4038}\)
\(\Rightarrow x+1=4038\)
\(\Rightarrow x=4037\)
\(1,3x+3\frac{1}{2}=x\)
\(1,3x+\frac{7}{2}=x\)
\(1,3x-x+\frac{7}{2}=0\)
\(x.\left(1,3-1\right)=-\frac{7}{2}\)
\(x\cdot0,3=-\frac{7}{2}\)
\(x\cdot\frac{3}{10}=-\frac{7}{2}\)
\(x=-\frac{7}{2}:\frac{3}{10}=-\frac{7}{2}\cdot\frac{10}{3}=-\frac{35}{3}\)