\(3x^2-7x+2=0\\ \Leftrightarrow3x^2-6x-x+2=0\\ \Leftrightarrow3x\left(x-2\right)-\left(x-2\right)=0\\ \Leftrightarrow\left(x-2\right)\left(3x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-2=0\\3x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{1}{3}\end{matrix}\right.\)
1.\(2\sqrt{75}+3\sqrt{48}-4\sqrt{27}=2\sqrt{5^2.3}+3\sqrt{4^2.3}-4\sqrt{3^2.3}\)
\(=10\sqrt{3}+12\sqrt{3}-12\sqrt{3}=10\sqrt{3}\)
2)\(\left\{{}\begin{matrix}2x-y=8\\3x+2y=5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2x-8\\3x+4x-16=5\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=2x-8\\7x=5+16=21\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2.3-8=-2\\x=3\end{matrix}\right.\)
