tìm x biết
2011+2010+2009+..............+x=2011
(2009 x 2010 + 2011 x 12 + 1998)/(2011 x 2010 - 2010 x 2009)
Tìm x biết : 2011 + 2010+2009+...+x=2011
\(\frac{x-2010-2011}{2009}\)+\(\frac{x-2009-2011}{2010}\)+\(\frac{x-2009-2010}{2011}\)= 3
lấy cả 2 vế trừ đi 3
\(\frac{x-2010-2011}{2009}+\frac{x-2009-2011}{2010}+\frac{x-2009-2010}{2011}=3\)
\(\Leftrightarrow\left(\frac{x-2010-2011}{2009}-1\right)+\left(\frac{x-2009-2011}{2010}-1\right)+\left(\frac{x-2009-2010}{2011}-1\right)=0\)
\(\Leftrightarrow\frac{x-6030}{2009}+\frac{x-6030}{2010}+\frac{x-6030}{2011}=0\)
\(\Leftrightarrow\left(x-6030\right)\left(\frac{1}{2009}+\frac{1}{2010}+\frac{1}{2011}\right)\)
\(\Leftrightarrow x-6030=0\)(vì \(\frac{1}{2009}+\frac{1}{2010}+\frac{1}{2011}>0\))
\(\Leftrightarrow x=6030\)
Vậy ................
Giúp mình với: Tìm x ; y ;z
\(\frac{\sqrt{x-2009}-1}{x-2009}+\frac{\sqrt{y-2010}-1}{y-2010}+\frac{\sqrt{z-2011}}{z-2011}=\frac{3}{4}\)
2011 x 2010 - 1/2009 x 2011 + 2010
`(2011xx2020-1)/(2009xx2011+2010)`
`=((2009+1)xx2011-1)/(2009xx2011+2010)`
`=(2009xx2011+2011-1)/(2009xx2011+2010)`
`=(2009xx2011+2010)/(2009xx2011+2010)`
`=1`
\(\dfrac{2011.2010-1}{2009.2011+2010}\)
= \(\dfrac{2011.2009+2011-1}{2009.2011+2010}\)
= \(\dfrac{2011.2009+2010}{2009.2011+2010}\)
= 1
tìm max: |x-2008|+|x-2009|+|y-2010|+|x-2011|+2008
Tìm x:
2011+2010+2009+......+x=2011
Nhớ ghi cách giải dùm mình nha?
2011 cộng với mấy số khác mà cuối cùng vẫn bằng chính nó sao
x-2012/2008-x-2012/2009=x-2012/2010-x-2012/2011.tìm x
Bài 1 :
a, A= 2011*2010-1 / 2011*2009+2010
B, Tìm x
1- {11/4+x-5/3} : 19/5 =0
A = 2011 x (2009 + 1) - 1/ 2011 x 2009 + 2010
A = 2011 x 2009 + 2011 x 1 - 1/2011 x 2009 + 2010
A = 2011 x 2009 + 2010/2011 x 2009 + 2010
A = 1
B.