Question

Giải pt tích : (2x-1)²+(2x-x)(2x-1)=0

Answer 1

\(\left(2x-1\right)^2+\left(2x-x\right)\left(2x-1\right)=0\)

\(\Leftrightarrow\left(2x-1\right)\left(2x-1+2x-x\right)=0\)

\(\Leftrightarrow\left(2x-1\right)\left(4x-x-1\right)=0\)

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

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