`[2x]/[x-1] > 2` `ĐK: x \ne 1`
`<=>[2x]/[x-1]-2 > 0`
`<=>[2x-2(x-1)]/[x-1] > 0`
`<=>[2x-2x+2]/[x-1] > 0`
`<=>2/[x-1] > 0`
Mà `2 > 0`
`=>x-1 > 0`
`<=>x > 1` (t/m)
Vậy `S={x|x > 1}`
Thực hiên phép tính
a)\(\dfrac{x^2+2}{x^3+1}\)-\(\dfrac{1}{x+1}\)
b)\(\dfrac{x}{x^2-2x}\)-\(\dfrac{x^2+4x}{x^3-4x}\)-\(\dfrac{2}{x^2+2x}\)
c)\(\dfrac{1}{2-2x}\)-\(\dfrac{3}{2+2x}\)+\(\dfrac{2x}{x^2-1}\)
a/\(\dfrac{1-x}{x+1}+3=\dfrac{2x+3}{x+1}\)
b/\(\dfrac{\left(x+2\right)^2}{2x-3}-1=\dfrac{x^2+10}{2x-3}\)
c/\(\dfrac{5x-2}{2-2x}+\dfrac{2x-1}{2}=1-\dfrac{x^2+x-3}{1-x}\)
m)(\(\dfrac{2x}{x^2-1}\)+\(\dfrac{x-1}{2x+2}\)):\(\dfrac{x+1}{2x}\)+\(\dfrac{3}{1-x}\)
p)(\(\dfrac{2+x}{2-x}\)+\(\dfrac{4x^2}{x^2-4}\)-\(\dfrac{2-x}{2+x}\)):\(\dfrac{x^2-3x}{2x^2-x^3}\)
Thực hiện phép tính: (câu nào khó quá bỏ qua)
a) \(\dfrac{x^2+2}{x^3+1}\)-\(\dfrac{1}{x+1}\)
b)\(\dfrac{x}{x^2-2x}\)-\(\dfrac{x^2+4x}{x^3-4x}\)-\(\dfrac{2}{x^2+2x}\)
c)\(\dfrac{1}{2-2x}\)-\(\dfrac{3}{2+2x}\)+\(\dfrac{2x}{x^2-1}\)
d) \(\dfrac{1}{\left(a-b\right)\left(b-c\right)}\)+\(\dfrac{1}{\left(b-c\right)\left(c-a\right)}\)+\(\dfrac{1}{\left(c-a\right)\left(a-b\right)}\)
À mà nay sinh nhật tui á
Thực hiện phép tính:
a) \(\dfrac{x}{2x-y}-\dfrac{2x-y}{4x-2y}\)
b)\(\dfrac{3x+1}{x^2-1}-\dfrac{x}{2x-2}\)
c) \(\dfrac{x-2}{x^2-4}-\dfrac{-8-x}{3x^2+6x}\)
d) \(\dfrac{2}{2x-3}-\dfrac{x}{2x+3}-\dfrac{2x+1}{9-4x^2}\)
thực hiện phép tính
\(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{9x^2-4}\)
\(\dfrac{x+25}{2x^2-50}-\dfrac{x+5}{x^2-5x}-\dfrac{5-x}{2x^2+10x}\)
\(\dfrac{1-2x}{2x}-\dfrac{4x}{2x-1}-\dfrac{3}{2x-4x^2}\)
thực hiện phép tính
\(\dfrac{11x}{2x-3}+\dfrac{x-18}{2x-3}\)
\(\dfrac{2x+12}{4x^2-9}+\dfrac{2x+5}{4x-6}\)
\(\dfrac{x}{2x+1}+\dfrac{-1}{4x^2-1}+\dfrac{2-x}{2x-1}\)
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
Quy đồng các phân thức
a, \(\dfrac{2x}{x+1}v̀a\dfrac{x}{x-1}\)
b, \(\dfrac{3}{x^2+2x+1}\) và \(\dfrac{x-1}{x+1}\) và \(\dfrac{x^2}{x^2-1}\)
c, \(\dfrac{3x+2}{x^2-2x}\) và \(\dfrac{1-x}{x^2-4}\)
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/ \(\dfrac{x-3}{9}-\dfrac{x+2}{6}=\dfrac{x+4}{18}-\dfrac{1}{2}\)
