\(\left|x\left(x^2-\dfrac{5}{4}\right)\right|=x\)
TH1 : \(x\left(x^2-\dfrac{5}{4}\right)=x\)
\(x^2-\dfrac{5}{4}=x:x\)
\(x^2-\dfrac{5}{4}=1\)
\(x^2=1+\dfrac{5}{4}\)
\(x^2=\dfrac{9}{4}\)
=> x=\(\dfrac{3}{2}\)
TH2 : \(x\left(x^2-\dfrac{5}{4}\right)=-x\)
\(x^2-\dfrac{5}{4}=-x:x\)
\(x^2-\dfrac{5}{4}=-1\)
\(x^2=\left(-1\right)+\dfrac{5}{4}\)
\(x^2=\dfrac{1}{4}\)
=>x=\(\dfrac{1}{2}\)
Vậy x=3/2 hoặc x=1/2
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