mai đến lớp tớ bảo
\(4x.\left(x-1\right)+3\sqrt{2}.\left(1-x\right)=0\)
\(\Rightarrow4x.\left(x-1\right)-3\sqrt{2}.\left(x-1\right)=0\)
\(\Rightarrow\left(x-1\right).\left(4x-3\sqrt{2}\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-1=0\\4x-3\sqrt{2}=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0+1\\4x=3\sqrt{2}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=3\sqrt{2}:4\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=1\\x=\frac{3\sqrt{2}}{4}\end{matrix}\right.\)
Vậy \(x\in\left\{1;\frac{3\sqrt{2}}{4}\right\}.\)
Chúc bạn học tốt!
