a.
ĐKXĐ: \(5x-10\ne0\Leftrightarrow5\left(x-2\right)\ne0\Leftrightarrow x\ne2\)
\(\dfrac{2x-1}{5x-10}=\dfrac{2x-1}{5\left(x-2\right)}=0\Leftrightarrow2x-1=0\Leftrightarrow x=\dfrac{1}{2}\) (tmđk)
b. ĐKXĐ: \(2x\ne0\Leftrightarrow x\ne0\)
\(\dfrac{x^2-x}{2x}=\dfrac{x\left(x-1\right)}{2x}=\dfrac{x-1}{2}=0\Leftrightarrow x=1\)(tmđk)
c. ĐKXĐ: \(4x-5\ne0\Leftrightarrow x\ne\dfrac{5}{4}\)
\(\dfrac{2x+3}{4x-5}=0\Leftrightarrow2x+3=0\Leftrightarrow x=-\dfrac{3}{2}\) (tmđk)
d. ĐKXĐ: \(x+2\ne0\Leftrightarrow x\ne-2\)
\(\dfrac{x-1}{x+2}=0\Leftrightarrow x-1=0\Leftrightarrow x=1\)
e. ĐKXĐ: \(x^2-4x+3\ne0\Leftrightarrow\left(x-3\right)\left(x-1\right)\ne0\Leftrightarrow x\ne1,3\)
\(\dfrac{\left(x-1\right)\left(x+2\right)}{x^2-4x+3}=0\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\left(loai\right)\\x=-2\end{matrix}\right.\)
