Lời giải:
ĐKXĐ: $x\neq \pm \frac{1}{2}$
PT \(\Leftrightarrow \frac{8x^2}{3(1-4x^2)}=\frac{2x}{3(2x-1)}-\frac{8x+1}{4(2x+1)}=\frac{8x(2x+1)-3(8x+1)(2x-1)}{12(2x-1)(2x+1)}\)
\(\Leftrightarrow \frac{8x^2}{3(1-4x^2)}=\frac{-32x^2+26x+3}{12(4x^2-1)}\)
\(\Leftrightarrow \frac{8x^2}{3(1-4x^2)}=\frac{32x^2-26x-3}{12(1-4x^2)}\)
\(\Leftrightarrow 32x^2=32x^2-26x-3\)
\(\Leftrightarrow 26x+3=0\Rightarrow x=-\frac{3}{26}\) (t/m)
Vậy.........
1,Giải PT
a,\(\frac{3}{1-4x}=\frac{2}{4x+1}-\frac{3+6x}{16x^2-1}\)
b,\(\frac{5-x}{4x^2-8x}+\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
c,\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
bài 1 giải phương trình
\(\frac{3x+2}{3x-2}-\frac{6}{2+3x}=\frac{9x^2}{9x^2-4}\)
\(\frac{3}{5x-1}+\frac{3}{3-5x}=\frac{4}{\left(1-5x\right)\left(5x-3\right)}\)
\(\frac{3}{1-4x}=\frac{2}{4x+1}-\frac{8+6x}{16x^2-1}\)
\(\frac{5-x}{4x^2-8x}+\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
Giải các phương trình:
\(a,\frac{2x+1}{x^2-5x+4}+\frac{5}{x-1}=\frac{2}{x-4}\)
\(b,\frac{7}{8x}-\frac{x-5}{4x^2-8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
Giải phương trình :
1 ) 5( x - 2 ) = 3x + 10
2 ) x2( x - 5 ) - 4x + 20 = 0
3 ) \(\frac{3x+1}{4}+\frac{8x-21}{20}=\frac{3\left(x+2\right)}{5}-2\)
4 ) \(\frac{3}{4x-20}+\frac{7}{6x+30}=\frac{15}{2x^2-50}\)
Giải các phương trình
a) \(\frac{15x}{x^2+3x-4}=\frac{12}{x+4}+\frac{4}{x-1}+1\)
b) \(x\left(x-2\right)\left(x-1\right)\left(x+1\right)=24\)
c) \(\frac{x^2-2x+2}{x-1}+\frac{x^2-8x+20}{x-4}=\frac{x^2-4x+6}{x-2}+\frac{x^2-6x+12}{x-3}\)
a) \(\frac{1+8x}{8x+4}=\frac{2x}{6x-3}-\frac{8x^2}{3-12x^2}\)
b)(x-2)(x-3)<(x-4)2-2(x+3)
Giải các phương trình
a) \(\frac{3x+2}{2}-\frac{3x+1}{6}=\frac{5}{3}+2x\)
b) \(\frac{4x+3}{5}-\frac{6x-2}{7}=\frac{5x+4}{3}+3\)
c) \(\frac{x+4}{5}-x+4=\frac{x}{3}-\frac{x-2}{2}\)
d) \(\frac{5x+2}{6}-\frac{8x-1}{3}=\frac{4x+2}{5}-5\)
giải phương trình sau :
a) 5-(x-6) = 4(3-2x) b) 2x(x+2)2-8x2 = 2(x-2)(x2+4)
c) 7-(2x+4) = -(x+4) d) (x+1)(2x-3) = (2x-1)(x+5
f) \(\frac{7x-1}{6}+2x=\frac{16-x}{5}\)
e) \(\frac{\left(2x+1\right)^2}{5}-\frac{\left(x-1\right)^2}{3}=\frac{7x^2-14x-5}{15}\)
Rut gon bt
\(A=[\frac{(x-1)^2}{x^2+x+1}-\frac{1+4x-2x^2}{x^3-1}-\frac{1}{1-x}]^2:\frac{8x^3+1}{8x^2-4x+2}\)