b) \(\dfrac{1}{10}:\left(\dfrac{3}{4}-2x\right)^{^{ }2}=0,4\)
\(\left(\dfrac{3}{4}-2x\right)^2=\dfrac{1}{10}.\dfrac{5}{2}\)
\(\left(\dfrac{3}{4}-2x\right)^2=\dfrac{1}{4}\)
=> \(\left\{{}\begin{matrix}\dfrac{3}{4}-2x=\dfrac{1}{4}\\\dfrac{3}{4}-2x=\dfrac{-1}{4}\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}2x=\dfrac{3}{4}-\dfrac{1}{4}\\2x=\dfrac{3}{4}+\dfrac{1}{4}\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}2x=\dfrac{1}{2}\\2x=1\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}x=\dfrac{1}{4}\\x=\dfrac{1}{2}\end{matrix}\right.\)
Vậy x \(\in\left\{\dfrac{1}{4};\dfrac{1}{2}\right\}\)
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