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\(\frac{1}{3}.\frac{1}{x}+\left(\frac{1}{x}+1\right).\frac{2}{5}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\left(\frac{1}{x}+\frac{x}{x}\right).\frac{2}{5}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\frac{1+x}{x}.\frac{2}{5}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\frac{2\left(1+x\right)}{5x}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\frac{2+2x}{5x}=\frac{9}{5}\)
\(\frac{5}{15x}+\frac{6+6x}{15x}=\frac{9}{5}\)
\(\Rightarrow\frac{5+6+6x}{15x}=\frac{3.9x}{15x}\)
\(\Rightarrow\frac{11+6x}{15x}=\frac{27x}{15x}\)
\(\Rightarrow11+6x=27x\)
\(\Rightarrow21x=11\)
\(\Rightarrow x=\frac{11}{21}\)
Vậy \(x=\frac{11}{21}\)
_Hok tốt_
OK
1. 1/2-(x-1/4)=1/3
=> x-1/4=1/2-1/3
=> x-1/4= 1/6
=> x= 1/6+1/4=5/12
2. 3/2*(x-1/2-1)=5/4
=> x-1/2-1=5/4:3/2
=> x-1/2= 5/6+1
=> x = 11/6+1/2
=> x= 7/3
3. 11/2-9/2*(x-3/4)=1
=> 9/2*(x-3/4)= 11/2-1
=> x-3/4 = 9/2:9/2
=> x= 1+3/4
=> x= 7/4
Chúc bạn Hk tốt!!!!!
1. x=\(\frac{5}{12}\)
2. x=\(\frac{7}{3}\)
3. x= \(\frac{7}{4}\)
Chúc bạn Hk tốt!!!
A.1/2x3 +1/3x4 +1/4x5+...+1/99x100
=1/2 -1/3 +1/3-1/4+1/4-1/5+...+1/99-1/100
=1/2-1/100
=49/100
a, 7\(\dfrac{3}{5}\) : \(x\) = 5\(\dfrac{4}{15}\) - 1\(\dfrac{1}{6}\)
\(\dfrac{38}{5}\) : \(x\) = \(\dfrac{79}{15}\) - \(\dfrac{7}{6}\)
\(x\) = \(\dfrac{41}{10}\)
\(x\) = \(\dfrac{38}{5}\) : \(\dfrac{41}{10}\)
\(x\) = \(\dfrac{76}{41}\)
b, \(x\) \(\times\) 2\(\dfrac{2}{3}\) = 3\(\dfrac{4}{8}\) + 6\(\dfrac{5}{12}\)
\(x\) \(\times\) \(\dfrac{8}{3}\) = \(\dfrac{7}{2}\) + \(\dfrac{77}{12}\)
\(x\) \(\times\) \(\dfrac{8}{3}\) = \(\dfrac{119}{12}\)
\(x\) = \(\dfrac{119}{12}\)
\(x\) = \(\dfrac{119}{12}\): \(\dfrac{8}{3}\)
\(x\) = \(\dfrac{119}{32}\)
\(\frac{x}{y}\times\frac{3}{7}=\frac{4}{9}\)
\(\Rightarrow\frac{x}{y}=\frac{4}{9}:\frac{3}{7}\)
\(\Rightarrow\frac{x}{y}=\frac{28}{27}\)
\(\frac{1}{3}\cdot\frac{1}{x}+\left(\frac{1}{x}+1\right)\cdot\frac{2}{5}=\frac{9}{5}\)
ĐKXĐ \(x\ne0\)
\(\frac{1.1}{3x}+\left(\frac{1}{x}+\frac{x}{x}\right)\cdot\frac{2}{5}=\frac{9}{5}\)
\(\frac{1}{3x}+\frac{1+x}{x}\cdot\frac{2}{5}=\frac{9}{5}\)
\(\frac{1}{3x}+\frac{2\left(1+x\right)}{5x}=\frac{9}{5}\)
\(\frac{1}{3x}+\frac{2x+2}{5x}=\frac{9}{5}\)
\(\frac{5}{15x}+\frac{3\left(2x+2\right)}{5x}=\frac{9}{5}\)
\(\frac{5}{15x}+\frac{6x+6}{15x}=\frac{9}{5}\)
\(\frac{5+6x+6}{15x}=\frac{3x.9}{15x}\)
\(\frac{11+6x}{15x}=\frac{27x}{15x}\)
\(\Rightarrow11+6x=27x\)
\(\Rightarrow11=27x-6x\)
\(\Rightarrow11=21x\)
\(\Rightarrow x=\frac{11}{21}\)
Vậy \(S=\left\{\frac{11}{21}\right\}\)
P/s hình như mik lm dạng này r ?!?