a) \(\frac{4x-5}{x-1}=\frac{2\left(x-1\right)}{x-1}+\frac{x}{x-1}\)
\(\Leftrightarrow4x-5-2x+2-x=0\)
\(\Leftrightarrow x=3\)
Vậy..
b) \(\frac{1}{x-2}+\frac{3\left(x-2\right)}{x-2}=\frac{3-x}{x-1}\)
\(\Leftrightarrow1+3x-6-3+x=0\)
\(\Leftrightarrow4x=8\)
\(\Leftrightarrow x=2\)
Vậy...
c) \(\frac{x+1}{x-1}-\frac{x-1}{x+1}=\frac{16}{x-1}\)
\(\Leftrightarrow\frac{\left(x+1\right)\left(x+1\right)-\left(x-1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}=\frac{16\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}\)
\(\Leftrightarrow x^2+2x+1-x^2+2x-1-16x-16=0\)
\(\Leftrightarrow-12x=16\)
\(\Leftrightarrow x=-\frac{4}{3}\)
Vậy..
