\(\dfrac{2x-1}{4x^2+2x+1}+\dfrac{2}{2x-1}=\dfrac{-8x-2}{\left(2x-1\right)\left(4x^2+2x+1\right)}\)
\(\Leftrightarrow4x^2-4x+1+8x^2+4x+2=-8x-2\)
\(\Leftrightarrow12x^2+3+8x+2=0\)
\(\Leftrightarrow12x^2+8x+5=0\)
\(\text{Δ}=8^2-4\cdot12\cdot5=64-240< 0\)
DO đo: Phương trình vô nghiệm
\(\dfrac{x-1}{2x^2-4x}-\dfrac{7}{8x}=\dfrac{5-x}{4x^2-8x}-\dfrac{1}{8x-16}\)
\(\dfrac{5-x}{4x^2-8x}+\dfrac{7}{8x}=\dfrac{x-1}{2x(x-2)}+\dfrac{1}{8x-16}\)
23) \(\dfrac{1}{x^2+4x+3}+\dfrac{1}{x^2+8x+15}+\dfrac{1}{x^2+12x+35}=\dfrac{1}{9}\)
24) \(\dfrac{1}{x^2+5x+6}+\dfrac{1}{x^2+7x+12}+\dfrac{1}{x^2+9x+20}+\dfrac{1}{x^2+11x+30}=\dfrac{1}{8}\)
25) \(\dfrac{x^2+2x+2}{x+1}+\dfrac{x^2+8x+20}{x+4}=\dfrac{x^2+4x+6}{x+2}+\dfrac{x^2+6x+12}{x+3}\)
5.c) \(\dfrac{x+1}{x^2+x+1}-\dfrac{x-1}{x^2-x-1}=\dfrac{3}{x\left(x^4+x^2+1\right)}\)
6.b) \(\dfrac{4}{2x^3+3x^2-8x-12}-\dfrac{1}{x^2-4}-\dfrac{4}{2x^2+7x+6}+\dfrac{1}{2x+3}=0\)
Giải pt
\(\dfrac{x^2+2x}{x+1}+\dfrac{x^2+8x+20}{x+4}=\dfrac{x^2+4x+6}{x+2}+\dfrac{x^2+6x+12}{x+3}\)
Giải các phương trình sau:
a) \(\dfrac{1}{4z^{2}-12z+9}-\dfrac{3}{9-4z^{2}}=\dfrac{4}{4z^{2}+12z+9}\)
b) \(\dfrac{2}{(1-3u)(3u+11)}=\dfrac{1}{9u^{2}-6u+1}-\dfrac{3}{(3u+11)^{2}}\)
c) \(\dfrac{4}{2x^{3}+3x^{2}-8x-12}-\dfrac{1}{x^{2}-4}-\dfrac{4}{2x^{2}+7x+6}+\dfrac{1}{2x+3}=0\)
Giải pt:
a)\(\dfrac{x+5}{2x-1}-\dfrac{1-2x}{x+5}-2=0\)
b)\(\dfrac{9x-27}{2x-7}-\dfrac{8x-28}{x-3}=0\)
c)\(\dfrac{2x+3}{x-3}-\dfrac{3\left(x-3\right)}{x+3}-2=0\)
giai pt (giup toi voi)
1.\(\dfrac{4x}{4x^2-8x+7}+\dfrac{3x}{4x^2-10x+7}=1\)
2.\(\dfrac{2x}{x^2+3x-10}\)+\(\dfrac{5x}{x^2+7x-10}=4\)
Giải phương trình
\(1,\dfrac{x^2-2x-3}{x-1}+\dfrac{x^2-8x+20}{x-4}=\dfrac{x^2-4x+6}{x-2}+\dfrac{x^2-6x+12}{x-3}\)
\(2,\left(1+\dfrac{1}{1\cdot3}\right)\cdot\left(1+\dfrac{1}{2\cdot4}\right)\cdot\left(1+\dfrac{1}{3\cdot5}\right)\cdot...\cdot[1+\dfrac{1}{x\cdot\left(x+2\right)}]=\dfrac{31}{16}\left(x\in N\right)\)
