Giải phương trình:
\(\frac{x-4}{x\left(x+2\right)}\) - \(\frac{1}{x\left(x-2\right)}\) = \(\frac{-2}{\left(x+2\right)\left(x-2\right)}\)
\(\frac{1}{x\left(x+3\right)}\) + \(\frac{1}{\left(x+3\right)\left(x+6\right)}\) + \(\frac{1}{\left(x+6\right)\left(x+9\right)}\) + \(\frac{1}{\left(x+9\right)\left(x+12\right)}\) = \(\frac{1}{16}\)
Giải các phương trình sau:
a) \(\left(x-3\right)\left(1-x\right)=\left(2x-3\right)\left(x+5\right)\)
b) \(\frac{3}{5x-1}+\frac{2}{3-5x}=\frac{4}{\left(1-5x\right)\left(x-3\right)}\)
c) \(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x-1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
d) \(\frac{m-3}{m+3}-\frac{1-3m}{1+3m}-1\)
e)\(\frac{x}{3+x}-\frac{x}{x-3}=\frac{1}{9-x^2}\)
Bài 1 Giải phương trình
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
\(x^4+3x^3+6x+4=0\)
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Giải phương trình: \(\frac{1}{\left(x+2\right)\left(x+3\right)}\) + \(\frac{1}{\left(x+3\right)\left(x+4\right)}\) + \(\frac{1}{\left(x+4\right)\left(x+5\right)}\) + \(\frac{1}{\left(x+5\right)\left(x+6\right)}\) = \(\frac{1}{15}\)
\(\frac{1}{2}\left(x+1\right)+\frac{1}{4}\left(x+3\right)=3-\frac{1}{3}\left(x+2\right)\)
Giải pt:
1. x-4=2x+4
2. \(\frac{2x-1}{2}-\frac{x}{3}=x-\frac{x}{6}\)
3.\(\frac{x+3}{2x+1}-\frac{x}{x-3}=\frac{3x^2+x+9}{\left(2x+1\right)\left(x-3\right)}\)
4.\(\frac{2x}{3}+\frac{2x-1}{6}=4-\frac{x}{3}\)
bài 1 gải phương trình
a 7x -5=13-5x
b 5(2x-3)-4(5x-7)=19-2(x+11)
c\(\frac{2x-1}{3}\)- \(\frac{5x+2}{7}\)= x+13
d \(\frac{2x-3}{3}\)-\(\frac{x-3}{6}\)=\(\frac{4}{\left(x+1\right)\left(x+3\right)}\)=1
e \(\frac{2}{x+1}\)-\(\frac{1}{x-2}\)=\(\frac{3x-11}{\left(x+1\right)\left(x+2\right)}\)
f \(\frac{3x-1}{x-1}-\frac{x-3}{6}=\frac{4x+3}{5}-17\)
giải các phương trình sau
\(\frac{x+2}{x-2}-\frac{1}{x}=\frac{2}{x^2-2x}\)
\(\frac{2x}{2x-1}+\frac{x}{2x+1}=1+\frac{4}{\left(2x-1\right)\left(2x+1\right)}\)
\(\frac{2x-1}{3}+x=\frac{x+4}{2}\)
Giải phương trình: 1 + \(\frac{x}{x+3}\) - \(\frac{2}{x+2}\) = \(\frac{5x}{\left(x+2\right)\left(3-x\right)}\)