Question

Tìm x biết: \(3\frac{1}{2}:|2x-1|=\frac{21}{22}\)

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Answer 1

<=>7/2:|2x-1|=21/22

<=>|2x-1|=3/11

<=>2x-1=3/11 hoặc 2x-1=-3/11

<=>2x=14/11 hoặc 2x=8/11

<=>x=7/11 hoặc x=4/11

Vậy S=....

Answer 2

\(3\frac{1}{2}:|2x-1|=\frac{21}{22}\)

\(\Leftrightarrow\frac{7}{2}\cdot\frac{1}{|2x-1|}-\frac{3}{11}\cdot\frac{7}{2}=0\)

\(\Leftrightarrow\frac{7}{2}\cdot\left(\frac{1}{|2x-1|}-\frac{3}{11}\right)=0\)

\(\Rightarrow\frac{1}{|2x-1|}-\frac{3}{11}=0\)

\(\Rightarrow\frac{1}{|2x-1|}=\frac{3}{11}\)

\(\Rightarrow|2x-1|=\frac{1\cdot11}{3}=\frac{11}{3}\)

\(\Rightarrow2x=\frac{11}{3}+1=\frac{14}{3}\)

\(\Rightarrow x=\frac{14}{3}:2=\frac{7}{3}\)