`4/(x-1) +2/(1-x)+x/(x-1)`
`=4/(x-1) - 2/(x-1)+x/(x-1)`
`=(4-2+x)/(x-1)`
`=(2+x)/(x-1)`
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Giải các pt sau:1)dfrac{2x+1}{x^2-4}+dfrac{2}{x+1}dfrac{3}{2-x}2)dfrac{3x+1}{1-3x}+dfrac{3+x}{3-x}23)dfrac{8x-2}{3}1+dfrac{5-2x}{4}4)dfrac{x}{x+1}-dfrac{2x+3}{x}dfrac{-3}{x+1}-dfrac{3}{x}5)dfrac{x+1}{x-1}-dfrac{x-1}{x+1}dfrac{4}{x^2-1}6)dfrac{2x+5}{2x}-dfrac{x}{x+5}0giúp mình với cám ơn
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Giải các pt sau:
1)\(\dfrac{2x+1}{x^2-4}+\dfrac{2}{x+1}=\dfrac{3}{2-x}\)
2)\(\dfrac{3x+1}{1-3x}+\dfrac{3+x}{3-x}=2\)
3)\(\dfrac{8x-2}{3}=1+\dfrac{5-2x}{4}\)
4)
\(\dfrac{x}{x+1}-\dfrac{2x+3}{x}=\dfrac{-3}{x+1}-\dfrac{3}{x}\)
5)\(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{4}{x^2-1}\)
6)\(\dfrac{2x+5}{2x}-\dfrac{x}{x+5}=0\)
giúp mình với cám ơn
1/ \(\dfrac{5x+1}{8}-\dfrac{x-2}{4}=\dfrac{1}{2}\)
2/ \(\dfrac{x+3}{4}+\dfrac{1-3x}{3}=\dfrac{-x+1}{18}\)
3/ \(\dfrac{x+2}{4}-\dfrac{5x}{6}=\dfrac{1-x}{3}\)
4/ \(\dfrac{x-3}{2}-\dfrac{x+1}{10}=\dfrac{x-2}{5}\)
5/ \(\dfrac{4x+1}{4}-\dfrac{9x-5}{12}+\dfrac{x-2}{3}=0\)
1/ \(\dfrac{x+4}{4}+\dfrac{3x-7}{5}=\dfrac{7x+2}{20}\)
2/ \(\dfrac{x}{6}+\dfrac{1-3x}{9}=\dfrac{-x+1}{12}\)
3/ \(\dfrac{x-3}{3}-\dfrac{x+2}{12}=\dfrac{2x-1}{4}\)
4/ \(\dfrac{x-2}{4}-\dfrac{2x+3}{3}=\dfrac{x+6}{12}\)
5/ \(\dfrac{2x-1}{12}-\dfrac{3-x}{18}=\dfrac{-1}{36}\)
giải các phương trình sau
1, \(\dfrac{3}{x-3}+\dfrac{4}{x+3}=\dfrac{3x-7}{x^2-9}\)
2, \(\dfrac{3}{x-4}-\dfrac{4}{x+4}=\dfrac{3x-4}{x^2-16}\)
3, \(\dfrac{5x^2-12}{x^2-1}+\dfrac{3}{x-1}=\dfrac{5x}{x+1}\)
1/ \(\dfrac{x-4}{3}+2x=\dfrac{4x-2}{6}\)
2/ \(\dfrac{5x-2}{5}-2=\dfrac{1-2x}{3}\)
3/ \(\dfrac{x-2}{2}-\dfrac{2}{3}=x-1\)
4/ \(\dfrac{2x-1}{3}+\dfrac{3x-2}{4}=\dfrac{4x-3}{5}\)
5/ \(\dfrac{x-3}{9}-\dfrac{x+2}{6}=\dfrac{x+4}{18}-\dfrac{1}{2}\)
Giải các phương trình saua) dfrac{6x+1}{x^2-7x+10}+ dfrac{5}{x-2}dfrac{3}{x-5}b) dfrac{2}{x^2-4}-dfrac{x-1}{xleft(x-2right)}+dfrac{x-4}{xleft(x+2right)}c) dfrac{1}{3-x}-dfrac{1}{x+1}dfrac{x}{x-3}-dfrac{left(x-1right)^2}{x^2-2x-3}
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Giải các phương trình sau
a) \(\dfrac{6x+1}{x^2-7x+10}\)+ \(\dfrac{5}{x-2}\)=\(\dfrac{3}{x-5}\)
b) \(\dfrac{2}{x^2-4}\)-\(\dfrac{x-1}{x\left(x-2\right)}\)+\(\dfrac{x-4}{x\left(x+2\right)}\)
c) \(\dfrac{1}{3-x}\)-\(\dfrac{1}{x+1}\)=\(\dfrac{x}{x-3}\)-\(\dfrac{\left(x-1\right)^2}{x^2-2x-3}\)
Thực hiện phép tínha) ^{dfrac{x^2+2}{x^3-1}} +dfrac{2}{x^2+x+1} +dfrac{1}{1-x}b) dfrac{1}{x+2} +dfrac{3}{x^2-4} +dfrac{x-14}{left(x^2+4x+4right)left(x-2right)}c)dfrac{1}{x-y} -dfrac{3xy}{x^3-y^3} +dfrac{x-y}{x^2+xy+y^2}d) dfrac{1}{a-b} +dfrac{1}{a+b} +dfrac{2a}{a^2+b^2} +dfrac{4a^3}{a^4+b^4}e) dfrac{1}{a^2-a} + dfrac{1}{a^2-3a+2} +dfrac{1}{a^2-5a+6} +dfrac{1}{a^2-7a+12}
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Thực hiện phép tính
a) \(^{\dfrac{x^2+2}{x^3-1}}\) +\(\dfrac{2}{x^2+x+1}\) +\(\dfrac{1}{1-x}\)
b) \(\dfrac{1}{x+2}\) +\(\dfrac{3}{x^2-4}\) +\(\dfrac{x-14}{\left(x^2+4x+4\right)\left(x-2\right)}\)
c)\(\dfrac{1}{x-y}\) -\(\dfrac{3xy}{x^3-y^3}\) +\(\dfrac{x-y}{x^2+xy+y^2}\)
d) \(\dfrac{1}{a-b}\) +\(\dfrac{1}{a+b}\) +\(\dfrac{2a}{a^2+b^2}\) +\(\dfrac{4a^3}{a^4+b^4}\)
e) \(\dfrac{1}{a^2-a}\) + \(\dfrac{1}{a^2-3a+2}\) +\(\dfrac{1}{a^2-5a+6}\) +\(\dfrac{1}{a^2-7a+12}\)
giải các phương trình sau
1, \(\dfrac{-3}{x-4}-\dfrac{3-5x}{x^2-16}=\dfrac{1}{x+4}\)
2, \(\dfrac{3}{2+x}-\dfrac{x-1}{x^2-4}=\dfrac{2}{x-2}\)
3, \(\dfrac{x-5}{2x-3}-\dfrac{x}{2x+3}=\dfrac{1-6x}{4x^2-9}\)
a.dfrac{4x-5}{x-1}2+dfrac{x}{x-1} b.dfrac{7}{x+2}dfrac{3}{x-5} c.dfrac{2x+5}{2x}-dfrac{x}{x+5}0d.dfrac{12x+1}{11x-4}+dfrac{10x-4}{9}dfrac{20x+17}{18} e.dfrac{11}{x}dfrac{9}{x+1}+dfrac{2}{x-4} f.dfrac{14}{3x-12}-dfrac{2+x}{x-4}dfrac{3}{8-2x}-dfrac{5}{6}m.dfrac{12}{1-9x^2}dfrac{1+3x}{1+3x}-dfrac{1+3x}{1-3x} n.dfrac{x+1}{x-1}-dfrac{x-1}{x+1}dfrac{16}{x^2} e.left(1-dfrac{x-1}{x+1}right)left(x+2right)dfrac{x+1}{x-1}+dfrac{x-1}{x+1}
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a.\(\dfrac{4x-5}{x-1}=2+\dfrac{x}{x-1}\) b.\(\dfrac{7}{x+2}=\dfrac{3}{x-5}\) c.\(\dfrac{2x+5}{2x}-\dfrac{x}{x+5}=0\)
d.\(\dfrac{12x+1}{11x-4}+\dfrac{10x-4}{9}=\dfrac{20x+17}{18}\) e.\(\dfrac{11}{x}=\dfrac{9}{x+1}+\dfrac{2}{x-4}\) f.\(\dfrac{14}{3x-12}-\dfrac{2+x}{x-4}=\dfrac{3}{8-2x}-\dfrac{5}{6}\)
m.\(\dfrac{12}{1-9x^2}=\dfrac{1+3x}{1+3x}-\dfrac{1+3x}{1-3x}\) n.\(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{16}{x^2}\) e.\(\left(1-\dfrac{x-1}{x+1}\right)\left(x+2\right)=\dfrac{x+1}{x-1}+\dfrac{x-1}{x+1}\)
Giải các phương trình sau: (TM ĐK) 1) dfrac{11}{x}dfrac{9}{x+1}+dfrac{2}{x-4} 2) dfrac{14}{3x-12}-dfrac{2+x}{x-4}dfrac{3}{8-2x}-dfrac{5}{6} 3) dfrac{x+5}{x^2-5x}-dfrac{x+25}{2x^2-50}dfrac{x-5}{2x^2+10} 4) dfrac{x+1}{x-1}-dfrac{x-1}{x+1}dfrac{16}{x^2-1} 5) left(1-dfrac{x-1}{x+1}right)left(x+2right)dfrac{x+1}{x-1}+dfrac{x-1}{x+1} mng giúp mk bài này nha. Cảm ơn bạn nhiều
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Giải các phương trình sau: (TM ĐK)
1) \(\dfrac{11}{x}=\dfrac{9}{x+1}+\dfrac{2}{x-4}\)
2) \(\dfrac{14}{3x-12}-\dfrac{2+x}{x-4}=\dfrac{3}{8-2x}-\dfrac{5}{6}\)
3) \(\dfrac{x+5}{x^2-5x}-\dfrac{x+25}{2x^2-50}=\dfrac{x-5}{2x^2+10}\)
4) \(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{16}{x^2-1}\)
5) \(\left(1-\dfrac{x-1}{x+1}\right)\left(x+2\right)=\dfrac{x+1}{x-1}+\dfrac{x-1}{x+1}\)
mng giúp mk bài này nha. Cảm ơn bạn nhiều