`1/2:(1+1/2):(1+1/3):...:(1+1/x)=1/101`
`<=>1/2:3/2:4/3:...:[x+1]/x=1/101`
`<=>1/2 . 2/3 . 3/4 . .... . x/[x+1]=1/101`
`<=>1/[x+1]=1/101`
`<=>x+1=101`
`<=>x=100`
Tìm x
\(\dfrac{x+1}{100}+\dfrac{x+2}{101}=\dfrac{x+3}{102}-1\)
\(\dfrac{x-1}{99}-\dfrac{x+1}{101}+\dfrac{x-2}{98}-\dfrac{x+2}{102}+\dfrac{x-3}{97}-\dfrac{x+3}{103}+\dfrac{x-4}{96}-\dfrac{x+4}{104}=0\)
Cho biểu thứ :\(P:\left(\dfrac{x-1}{x-3}+\dfrac{2}{x-3}+\dfrac{x^2+3}{9-x^2}\right):\left(\dfrac{2x-1}{2x+1-1}\right)\)
a) Rút gọn biểu thức P
b) Tính giá trị của P biết \(\left|x+1\right|=\dfrac{1}{2}\)
c) Tìm x để \(P=\dfrac{x}{2}\)
d) Tìm giá trị nguyen của x để P có giá trị nguyên
Tìm x, biết
\(d.\dfrac{1}{x^2+9x+20}+\dfrac{1}{x^{2^{ }}+11x+30}+\dfrac{1}{x^2+13x+42}=\dfrac{1}{18}\)
\(e.\dfrac{x-241}{17}+\dfrac{x-220}{19}+\dfrac{x-195}{21}+\dfrac{x-166}{23}=10\)
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
cho bt: P=\(\dfrac{x^2+x}{x^2-2x+1}\):(\(\dfrac{x+1}{x}\)-\(\dfrac{1}{1-x}\)+\(\dfrac{2-x^2}{x^2-x}\))
a,tìm đkxđ rồi rút gọn
b,tính P biết |1+2x|=3
c,tìm x để P=\(\dfrac{-1}{2}\)
d,tìm x để P<1
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/ \(\dfrac{4x+1}{4}-\dfrac{9x-5}{12}+\dfrac{x-2}{3}=0\)
Cho biểu thức P = (\(\dfrac{2x}{2x^2-5x+3}-\dfrac{5}{2x-3}\)):(\(3+\dfrac{2}{1-x}\))
a)Rút gọn P
b) Tính P với |3x-2|+1=5
c)Tìm x biết P>0
d) Tìm x biết P=\(\dfrac{1}{6-x^2}\)
P =\(\left(\dfrac{x-1}{x+1}+\dfrac{x}{1-x}+\dfrac{3x+1}{x^2-1}\right):\dfrac{2x+1}{x^2-1}\)
a, Rút gọn P
b, Tìm x để P = \(\dfrac{3}{x-1}\)
