\(\Leftrightarrow\frac{2}{\left(2-x\right)\left(x-4\right)}+\frac{x-1}{2-x}-\frac{x+3}{x-4}=0\)
\(\Leftrightarrow\frac{2+\left(x-1\right)\left(x-4\right)-\left(x+3\right)\left(2-x\right)}{\left(2-x\right)\left(x-4\right)}=0\)
\(\Rightarrow2x^2-4x=0\Leftrightarrow x\left(x-2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
Giái phương trình :
a,\(\frac{6x+1}{x^2-7x+10}+\frac{5}{x-2}=\frac{3}{x-5}\)
b,\(\frac{2}{x^2-4}-\frac{x-1}{x\left(x-2\right)}+\frac{x-4}{x\left(x+2\right)}=0\)
c,\(\frac{1}{3-x}-\frac{1}{x+1}=\frac{x}{x-3}-\frac{\left(x-1\right)^2}{x^2-2x-3}\)
d,\(\frac{2}{x+2}-\frac{2x^2+16}{x^3+8}=\frac{5}{x^2-2x+4}\)
f.\(\frac{3}{x^2+x-2}-\frac{1}{x-1}=\frac{-7}{x+2}\)
g.\(\frac{2}{-x^2+6x-8}-\frac{x-1}{x-2}=\frac{x+3}{x-4}\)
h.\(\frac{2}{x^3-x^2-x+1}=\frac{3}{1-x^2}-\frac{1}{x-1}\)
i.\(\frac{x+2}{x-2}-\frac{2}{x^2-2x}=\frac{1}{x}\)
j.\(\frac{5}{-x^2+5x-6}+\frac{x+3}{2-x}=0\)
help meeeeeee!!!!!!
giải phương trình :
a) 3x(x-1)=(x-1)(x+2)
b) \(\frac{4x+3}{5}-\frac{6x-2}{7}=\frac{5x+4}{3}+3\)
c) \(\frac{1}{2}\left(x+1\right)+\frac{1}{4}\left(x+3\right)=3-\frac{1}{2}\left(x+2\right)\)
d) ** \(\frac{x+2}{98}+\frac{x+4}{96}=\frac{x+6}{94}+\frac{x+8}{92}\) ưu tiên câu d nha
\(1+\frac{45}{y^2-8y+16}=\frac{14}{y-4}\)
\(\frac{5}{x-1}-\frac{4}{3-6x+3x^2}=3\)
\(\frac{2x-5}{x-5}=3\)
\(\frac{x^2-12}{x}=x+\frac{3}{2}\)
\(\frac{\left(x^2-4\right)-\left(3x-6\right)}{x-2}=0\)
\(\frac{8}{2x+1}=2x-1\)
\(\frac{4}{x^2-3x+2}-\frac{3}{2x^2-6x+1}+1=0\)
\(\frac{1}{x-1}+\frac{2}{x-2}+\frac{3}{x-3}=\frac{6}{x-6}\)
Giái cac phương trình sau :
a,\(\frac{1}{x-1}+\frac{2}{x^2+x+1}=\frac{3x^2}{x^2-1}\)
b,\(\frac{10}{3}-\frac{7x+2}{6x+8}=2+\frac{3x+1}{4x+!2}\)
c,\(\frac{2}{x-3}-\frac{27}{x^3-27}=\frac{3}{x^2+3x+9}\)
a. \(\frac{5x}{3x+2}\)+1=\(\frac{-6x}{x+1}\)
b.\(\frac{x+3}{x+1}\)+\(\frac{x-2}{x}\)=2
c.\(\frac{3x-2}{x+7}\)=\(\frac{6x+1}{2x-3}\)
d.\(\frac{1}{2x-3}\)-\(\frac{3}{x\left(2x-3\right)}\)=\(\frac{5}{x}\)
e.\(\frac{x+1}{x-2}\)+\(\frac{x-1}{x+2}\)=\(\frac{2\left(x^2+2\right)}{x^2-4}\)
1. Giải phương trình
a) \(\frac{2}{x^2-x-6}+\frac{x+1}{x^2+x-12}=\frac{x}{x^2+6x+8}\)
b) \(\frac{2x-5}{x^2+5x-36}-\frac{x-6}{x^2+3x-28}=\frac{x+8}{x^2+16x+63}\)
c) \(\frac{x-2}{4x^2-29x+30}-\frac{x+1}{20x^2-13x-15}=\frac{x+2}{5x^2-274x+18}\)
Giải phương trình:
a, \(\frac{2}{\left(1-3x\right)\left(3x+11\right)}=\frac{1}{9x^2-6x+1}-\frac{3}{\left(3x+11\right)^2}\)
b,\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^1-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
