Giải các phương trình sau:
a/ \(\frac{4x-3}{x-5}=\frac{29}{3}\)
b/ \(\frac{4x-5}{x-1}=2+\frac{x}{x-1}\)
c/ \(\frac{2x+5}{2x}-\frac{x}{x+5}=0\)
d/ \(\frac{2x-1}{5-3x}=2\)
e/ \(\frac{7}{x+2}=\frac{3}{x-5}\)
f/ \(\frac{12x+1}{11x-4}+\frac{10x-4}{9}=\frac{20x+17}{18}\)
f, \(\frac{12x+1}{11x-4}+\frac{10x-4}{9}=\frac{20x+17}{18}\)
\(\Leftrightarrow\) \(\frac{18\left(12x+1\right)}{18\left(11x-4\right)}+\frac{2\left(10x-4\right)\left(11x-4\right)}{18\left(11x-4\right)}=\frac{\left(20x+17\right)\left(11x-4\right)}{18\left(11x-4\right)}\)
\(\Leftrightarrow\) 18(12x + 1) + 2(10x - 4)(11x - 4) = (20x + 17)(11x - 4)
\(\Leftrightarrow\) 216x + 18 + 220x2 − 168x + 32 = 220x2 + 107x − 68
\(\Leftrightarrow\) 216x + 18 + 220x2 − 168x + 32 - 220x2 - 107x + 68 = 0
\(\Leftrightarrow\) −59x + 118 = 0
\(\Leftrightarrow\) -59x = -118
\(\Leftrightarrow\) x = 2
Vậy S = {2}
Chúc bạn học tốt!