TH1 : x>0
xong phá ngoặc làm nhé
Th2 : x<0
xong cx phá ngoạc làm
|x|, |x+1|, |x+2|, ..., |x+100| đều lớn hơn hoặc bằng 0 với mọi x
=> Tổng của chúng lớn hơn hoặc bằng 0
=> 102x lớn hơn hoặc bằng 0
=> x lớn hơn hoặc bằng 0
=> |x| = x, |x+1| = x+1 , ..., |x+100| = x+100
=> 101x + 1+2+3+...+100 = 102x
=> x = (100+1).100/2 = 5050
mình nghĩ thế .
còn sai thì sorry nha
hacker
tìm x \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+\left(x+4\right)+...+\left(x+99\right)+\left(x+100\right)=5750\)
\(\left|x+y+\frac{1}{100}\right|\)\(=-\left|x\right|-\left|y\right|-\left|\frac{1}{10}\right|\)
\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+...+\left|x+200\right|=201\)
\(\left\{x+1\right\}+\left\{x+2\right\}\left\{x+3\right\}+....+\left\{x+100\right\}=5550\)
Tìm x
a) \(\left(x-1\right)+\left(x-2\right)+\left(x-3\right)+.....+\left(x-100\right)=101\)
b) \(x+2x+3x+....+100x=1000\)
c) \(x+1+2\left(x+2\right)+3\left(x+3\right)+...+100\left(x+100\right)=101^2\)
d) \(\frac{1+x}{1}+\frac{1+x}{2}+\frac{1+x}{3}+...+\frac{1+x}{30}=0\)
e) \(\left(1+\frac{x}{1}\right)\left(2-\frac{x}{2}\right)\left(3-\frac{x}{3}\right)=0\)
BẠN NÀO BIẾT PHẦN NÀO THÌ GIÚP MIK NHÉ!
Thank!!
Tìm x biết:\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+...+\left|x+100\right|=605x\)
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+.....+\left(x+100\right)=5750\)
1, Tính \(\frac{1}{2}-\left(\frac{1}{3}+\frac{2}{3}\right)+\left(\frac{1}{4}+\frac{2}{4}+\frac{3}{4}\right)-\left(\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}\right)+...+\left(\frac{1}{100}+\frac{2}{100}+\frac{3}{100}+...+\frac{99}{100}\right)\)2,Tính \(\left(1-\frac{1}{2^2}\right)x\left(1-\frac{1}{3^2}\right)x\left(1-\frac{1}{4^2}\right)x...x\left(1-\frac{1}{n^2}\right)\)
Tìm \(x\in Z\):
a. \(2\times\left(x-5\right)-3\times\left(x-4\right)=\left(-6\right)+15\times\left(-3\right)\)
b.\(\left(2x-5\right)-7=22\)
c.\(\left(2\times\left|x\right|-6\right)\times11=44\)
d.\(\left|x+3\right|+\left|x+5\right|+\left|x+9\right|=4x\)
e.\(\left|x-1\right|+\left|x-5\right|=4\)
g.\(x+\left(x+1\right)+\left(x+2\right)+.......+100=0\)
\(\left|x+1\right|+\left|x+2\right|+...+\left|x+100\right|=10+x\)
