Question

Tập nghiệm của phương trình 2x(3x-1)=0 A S={0;1} B S={-2;1/3} C S={0;1/3} D S={0;-1/3}

Answer 1

\(2x\left(3x-1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}2x=0\\3x-1=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\3x=1\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\end{matrix}\right.\)

Chọn C.\(S=\left\{0;\dfrac{1}{3}\right\}\)

Answer 2

\(2x\left(3x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}2x=0\\3x-1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\end{matrix}\right.\)

Vậy nghiệm phương trình \(S=\left\{0;\dfrac{1}{3}\right\} \Rightarrow C\)

Answer 3

\(C\)

\(2x\left(3x-1\right)=0\)

\(TH1:2x=0\Leftrightarrow x=0\)

\(TH2:3x-1=0\)

\(\Leftrightarrow3x=1\)

\(\Leftrightarrow x=\dfrac{1}{3}\)