ĐK: \(x\ge0\)
\(\Rightarrow x^4=x\\ \Rightarrow x^4-x=0\\ \Rightarrow x\left(x^3-1\right)=0\\ \Rightarrow x\left(x-1\right)\left(x^2+x+1\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=1\\x^2+x+\dfrac{1}{4}+\dfrac{3}{4}=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=1\\\left(x+\dfrac{1}{2}\right)^2+\dfrac{3}{4}=0\left(vô.nghiệm\right)\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
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