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1 / 1 x 2 = 1-1/2 và 1/2x3 = (1/2)-(1/3) tương tự đến 1/(x-1).x=(1/x-1)-(1/x). Cuối cùng ta có phép tính 1+(1/x-1)-(1/x)=15/16
1 / 1 x 2 = 1-1/2 và 1/2x3 = (1/2)-(1/3) tương tự đến 1/(x-1).x=(1/x-1)-(1/x).
Cuối cùng ta có phép tính
1+(1/x-1)-(1/x)=15/16.
10/3 x 1/2 - ( 1/2 x X - 1/3) + 1/5 = 3/5 :1/2
5/3 - ( 1/2 x X - 1/3) + 1/5 = 6/5
5/3 - ( 1/2 x X - 1/3) = 6/5 + 1/5
5/3 - ( 1/2 x X - 1/3) = 7/5
1/2 x X - 1/3 = 5/3 - 7/5
1/2 x X - 1/3 = 4/15
1/2 x X = 4/15 + 1/3
1/2 x X = 9/15
X = 9/15 : 1/2
X = 18/15.
[(x+1/3)+1/6]-1/2:2=3/4
=>[x+1/3+1/6]-1/4=3/4
=>x+1/2=3/4+1/4=1
=>x=1-1/2=1/2
\(\left[\left(x\times\frac{1}{3}\right)+\frac{1}{6}\right]-\frac{1}{2}\div2=\frac{3}{4}\)
\(\left[\left(x\times\frac{1}{3}\right)+\frac{1}{6}\right]-\frac{1}{2}=\frac{3}{4}\times2\)
\(\left[\left(x\times\frac{1}{3}\right)+\frac{1}{6}\right]-\frac{1}{2}=\frac{3}{2}\)
\(\left(x\times\frac{1}{3}\right)+\frac{1}{6}=\frac{3}{2}+\frac{1}{2}\)
\(\left(x\times\frac{1}{3}\right)+\frac{1}{6}=2\)
\(x\times\frac{1}{3}=2-\frac{1}{6}\)
\(x\times\frac{1}{3}=\frac{11}{6}\)
\(x=\frac{11}{6}\div\frac{1}{3}\)
\(\Rightarrow x=\frac{11}{2}\)
ĐKXĐ: x khác 0
1/(1 ×2)+ 1/(2 ×3)+ 1/(3 ×4 )+⋯.+ 1/(x ×( x+1))= 30/31
1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/x - 1/x +1 = 30/31
1 - 1/x+1 = 30/31
x+1-1/x+1 = 30/31
x/x+1 = 30/31
31x = 30x + 30
31x - 30x = 30
x = 30(TM)
Vậy x là 30.
\(3-\left(2x+\frac{1}{2}\right)\div\frac{1}{2}=2\)
\(\Leftrightarrow\left(2x+\frac{1}{2}\right)\div\frac{1}{2}=3-2\)
\(\Leftrightarrow\left(2x+\frac{1}{2}\right)\times2=1\)
\(\Leftrightarrow2x+\frac{1}{2}=\frac{1}{2}\)
\(\Leftrightarrow2x=\frac{1}{2}-\frac{1}{2}\)
\(\Leftrightarrow2x=0\)
\(\Leftrightarrow x=0\div2\)
\(\Leftrightarrow x=0\)
Vậy x = 0
\(3-\left(x\times2+\frac{1}{2}\right):\frac{1}{2}=2\)
\(\left(x\times2+\frac{1}{2}\right):\frac{1}{2}=3-2\)
\(\left(x\times2+\frac{1}{2}\right):\frac{1}{2}=1\)
\(x\times2+\frac{1}{2}=1\times\frac{1}{2}\)
\(x\times2+\frac{1}{2}=\frac{1}{2}\)
\(x\times2=\frac{1}{2}-\frac{1}{2}\)
\(x\times2=0\)
x = 0 : 2
x = 0
Vậy x = 0