ĐK: \(x\ne\pm2\)
\(pt\Rightarrow x+2+x^2-4x=0\Leftrightarrow x^2-3x+2=0\Leftrightarrow x^2-x-2x+2=0\Leftrightarrow x\left(x-1\right)-2\left(x-1\right)=0\Leftrightarrow\left(x-2\right)\left(x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\left(L\right)\\x=1\left(N\right)\end{matrix}\right.\)
Vậy \(S=\left\{1\right\}\)
BT: giải các pt sau
1. \(\frac{x+1}{2013}+\frac{x+2}{2012}=\frac{x+3}{2011}+\frac{x+4}{2010}\)
2. \(\frac{3x+2}{4}+\frac{x+3}{2}=\frac{x-1}{3}-\frac{-x-1}{12}\)
3.\(\frac{x+1}{x-1}-\frac{x-1}{x+1}+\frac{x^2+3}{1-x^2}=0\)
4. \(\frac{1}{x+2}-\frac{3x}{x-2}=\frac{16}{x^2-4}\)
Giải các pt sau:
a. -\(\frac{5}{9}\)x +1=\(\frac{2}{3}\)x - 10
b. \(\frac{x-22}{8}+\frac{x-21}{9}+\frac{x-20}{10}+\frac{x-19}{11}=4\)
c. ( 5x +3)(x2 + 4 )(x - 4) = 0
d. ( 2x - 1)2 + ( 2 - x )( 2x - 1) = 0
15, giải pt sau.
1,\(\frac{3\left(x+3\right)}{4}+\frac{1}{2}=\frac{5x+9}{3}-\frac{7x-9}{4}\)
2,\(\frac{2x-3}{3}-\frac{x-3}{6}=\frac{4x+3}{5}-17\)
3,\(\frac{5x-1}{6}+\frac{2\left(x+4\right)}{9}=\frac{7x-5}{15}+x-1\)
\(\frac{2x-3}{3}-\frac{x-3}{6}=\frac{4x+3}{5}-17\)
Giải PT: \(\frac{x+2}{2008}+\frac{x+3}{2007}+\frac{x+4}{2006}+\frac{x+2028}{6}=0\)
giải các phương trình sau:
a) \(\frac{5\left(x-1\right)+2}{6}-\frac{7x-1}{4}=\frac{2\left(2x+1\right)}{7}-5\)
b) \(\frac{4x-8}{2x^2+1}=0\)
Bài 1 giải các phương trình sau
a, \(\frac{5\left(1-2x\right)}{3}+\frac{x}{2}=\frac{3\left(x-5\right)}{4}-2\)
b, \(\left(x+2\right)^2+\left(x-1\right)\left(x+3\right)=2\left(x-4\right)\left(x+4\right)\)
c, \(\frac{3}{x-1}=\frac{3x+2}{1-x^2}-\frac{4}{x+1}\)
d, \(\frac{1}{x+1}+\frac{2x^2+1}{x^3+1}+\frac{2x^3-2x^2}{x^2-x+1}=2x\)
Bài 2 : Giải phương trình \(x^4+3x^3+6x+4=0\)
các bạn ơi ! giúp mik với đi ! mai kt rồi
Giải pt:
a) \(\frac{^{x^2+2x-16}}{x^2-x-12}+1=\frac{2x+1}{x+3}+\frac{3x-8}{x-4}\)
b) \(\frac{2x-1}{x+2}+\frac{7x+9}{\left(x+2\right)\left(x-1\right)}=\frac{3x-1}{x-1}\)
c) \(\frac{x+1}{20}+\frac{x+2}{19}+\frac{x+3}{18}=\frac{x+20}{1}+\frac{x+19}{2}+\frac{x+18}{3}\)
16,giải phương trình sau.
1, \(\frac{\frac{x-3}{5}+1}{4}=\frac{\frac{2x}{3}-\frac{1}{2}}{6}\)
2, \(\frac{5x+\frac{x+2}{2}}{9}-x=\frac{\frac{x+3}{5}+15}{12}-2\)
3, 5x+\(\frac{\frac{x+2}{2}}{9}-x=\frac{\frac{x+3}{5}+15}{12}-2\)
giải phương trình
a) \(\frac{x+1}{x-1}\)-\(\frac{x-1}{x+1}\)=\(\frac{4}{x^2-1}\)
b) \(\frac{8x^2}{3\left(1-4x^2\right)}\)=\(\frac{2x}{6x-3}\)-\(\frac{1+8x}{4+8x}\)
c) \(\frac{3}{4\left(x-5\right)}\)+\(\frac{15}{50-2x^2}\)= - \(\frac{7}{6\left(x+5\right)}\)
d) \(\frac{13}{\left(x-3\right)\left(2x+7\right)}\)+\(\frac{1}{2x+7}\)=\(\frac{6}{x^2-9}\)
