\(\left|x\left(x^x-\frac{5}{4}\right)\right|=0\)
\(\Rightarrow x\left(x^x-\frac{5}{4}\right)=0\)
\(\Rightarrow x=0\) hoặc \(x^x-\frac{5}{4}=0\)
\(\Rightarrow x=0\) hoặc \(x^x=\frac{5}{4}\Rightarrow x=\frac{\sqrt{5}}{2}\)
Vậy \(x\in\left\{0;\frac{\sqrt{5}}{2}\right\}\)