Question

Giải phương trình :

1) \(\frac{7x-3}{x-1}=\frac{2}{3}\) ;

2) \(\frac{5x-1}{3x+2}=\frac{5x-7}{3x-1}\) ;

3) \(\frac{1}{x-2}+3=\frac{x-3}{2-x}\)

4) \(\frac{1}{x^2-12x+9}+\frac{3}{9-4\text{z}^2}=\frac{4}{4\text{z}^2+12\text{z}+9}\) ;

5) \(\frac{1}{x}+2=\left(\frac{1}{x}+2\right)(x^2+1)\).

 

Answer 1

\(1,\frac{7x-3}{x-1}=\frac{2}{3}\)    ĐKXĐ : \(x\ne1\)

\(\Leftrightarrow\frac{3\left(7x-3\right)}{3\left(x-1\right)}=\frac{2\left(x-1\right)}{3\left(x-1\right)}\)

\(\Leftrightarrow21x-9=2x-2\)

\(\Rightarrow21x-2x=9-2\)

\(\Leftrightarrow19x=7\)

\(\Leftrightarrow x=\frac{7}{19}\)(TM)

kl :....

Answer 2

\(3,\frac{1}{x-2}+3=\frac{x-3}{2-x}\)   ĐKXĐ : \(x\ne2\)

\(\Leftrightarrow\frac{1}{x-2}+\frac{3\left(x-2\right)}{x-2}=\frac{3-x}{x-2}\)

\(\Leftrightarrow1+3x-6=3-x\)

\(\Leftrightarrow3x+x=-1+6-3\)

\(\Leftrightarrow4x=2\)

\(\Leftrightarrow x=2\)(TM)

KL : ....