tìm x biết:
2016+2015+...+(x+1)+x+2016
Tìm x thuộc Z biết:
1) 2016+2015+2014+...+x = 2016
2) 1+2+3+...+x = 1275
3) | x+2015 | + | x+2016| = 1
thiện xạ 5a3 có thể giải chi tiết ra đc k? Mk cần cách lm
2) 1+2+3+...+x=1275
Có SSH là: (x+1):1+1=x(SH)
=> (x+1).x:2=1275
=>(x+1).x=1275.2
=>(x+1).x=2550
=>(x+1).x=51.50
=>x=50
3) |x+2015|+|x+2016|=1
Ta thấy |x+2015| và |x+2016| > hoặc = 0 với mọi x
=> 1= 0+1=1+0
+) x+2015=0=>x=-2015
x+2016=1=>x=-2015
+) x+2015=1=>x=-2014
x+2016=0=> x=-2016
Vậy xE{...}
tìm x biết |x-2015|2016 +|x-2016|2015=1
tìm x,y biết x^2015 +x^2016+2015^2016=y^2016+y^2017+2016^2017
tìm x biết |x-2015|2016 +|x-2016|2015=1
Bài này đễ thôi
Giải |x-2015|2016 +|x-2016|2015=1
Vì |x-2015|2016 +|x-2016|2015=1 nên |x-2015|2016 hoặc |x-2016|2015 bằng 1 hoặc 0
Nên
-) Nếu |x-2015|2016 bằng 0 thì
x = 2015
-) Nếu |x-2015|2016 bẳng 1 thì
x = 2016
-) Nếu |x-2016|2015 bằng 0 thì
x = 2016
-) Nếu |x-2016|2015 bằng 1 thì :
x = 2017
Mà x chỉ có một nên trường hợp là |x-2016|2015 bằng 0 và |x-2015|2016 bằng 1
Nên x = 2016
Vậy x = 2016
tìm x biết
\(\frac{x-1}{2016}+\frac{x-2}{2015}+\frac{x-3}{2014}+...+\frac{x-2016}{1}=2016\\ \)
\(\frac{x-1}{2016}+\frac{x-2}{2015}+\frac{x-3}{2014}+...+\frac{x-2016}{1}=2016\)
\(\Leftrightarrow\frac{x-1}{2016}-1+\frac{x-2}{2015}-1+\frac{x-3}{2014}-1+...+\frac{x-2016}{1}-1=0\)
\(\Leftrightarrow\frac{x-2017}{2016}+\frac{x-2017}{2015}+\frac{x-2017}{2014}+...+\frac{x-2017}{1}=0\)
\(\Leftrightarrow\left(x-2017\right)\left(\frac{1}{2016}+\frac{1}{2015}+...+1\right)=0\)
Có: \(\frac{1}{2016}+\frac{1}{2015}+...+1\ne0\)
\(\Rightarrow x-2017=0\)
\(\Rightarrow x=2017\)
<=> \(\frac{x-1}{2016}+\frac{x-2}{2015}+\frac{x-3}{2014}+....+\frac{x-2016}{1}-2016=0\)\(=0\)
<=> \(\left(\frac{x-1}{2016}-1\right)+\left(\frac{x-2}{2015}-1\right)+...+\left(\frac{x-2016}{1}-1\right)=0\)
<=> \(\frac{x-2017}{2016}+\frac{x-2017}{2015}+...+\frac{x-2017}{1}=0\)
<=> \(\left(x-2017\right)\left(\frac{1}{2016}+\frac{1}{2015}+...+\frac{1}{1}\right)=0\)
<=> \(x-2017=0\)\(\left(do\frac{1}{2016}+\frac{1}{2015}+...+\frac{1}{1}>0\right)\)
<=> \(x=2017\)
Vậy x = 2017
đúng thì
Tìm x biết: 2016 x 2016 - 2015 x 2017 + x = 2016.
2016 x 2016 - 2015 x 2017 + x = 2016
(2016 x 2016) - (2015 x 2017) + x = 2016
4064256 - 4064255 + x = 2016
1 + x = 2016
x = 2016 - 1
x = 1
2016 x 2016 - 2015 x 2017 + x = 2016
40654256 - 4064255 + x = 2016
1 + x = 2016
x = 2016 - 1
x = 2015
Câu1: tìm số nguyên x mà -35/6<x>-18/5
Câu2 : so sánh A=2015/2016+2016/2017 và B= 2015+2016/2016+2017
Câu3 : tìm số nguyên x biết rằng : 1/3+1/6+1/10...+2/x(x+1) =2007/2009
câu 1. tìm x nguyên để \(\frac{-35}{6}\)<x<\(\frac{-18}{5}\)
<=> -4,375<x<-3,6
mà x\(\in\)Z nên x={-4}
câu 2. A=\(\frac{2015}{2016}\)+\(\frac{2016}{2017}\)
B=\(\frac{2015+2016}{2016+2017}\)=\(\frac{2015}{2016+2017}\)+\(\frac{2016}{2016+2017}\)
Vì \(\frac{2015}{2016+2017}\)<\(\frac{2015}{2016}\); \(\frac{2016}{2016+2017}\)<\(\frac{2016}{2017}\)
Vậy B<A
cau3:
\(\frac{1}{3}\)+\(\frac{1}{6}\)+\(\frac{1}{10}\)+.....+\(\frac{2}{x\left(x+1\right)}\)=\(\frac{2007}{2009}\)
2.(\(\frac{1}{6}\)+\(\frac{1}{12}\)+\(\frac{1}{20}\)+.....+\(\frac{1}{x\left(x+1\right)}\))=\(\frac{2007}{2009}\)
2.(\(\frac{1}{2.3}\)+\(\frac{1}{3.4}\)+\(\frac{1}{4.5}\)+.....+\(\frac{1}{x\left(x+1\right)}\))=\(\frac{2007}{2009}\)
2.(\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{1}{3}\)-\(\frac{1}{4}\)+\(\frac{1}{4}\)-\(\frac{1}{5}\)+.....+\(\frac{1}{x}\)-\(\frac{1}{x+1}\))=\(\frac{2007}{2009}\)
2.(\(\frac{1}{2}\)-\(\frac{1}{x+1}\))=\(\frac{2007}{2009}\)
\(\frac{1}{2}\)-\(\frac{1}{x+1}\)=\(\frac{2007}{4018}\)
\(\frac{1}{x+1}\)=\(\frac{1}{2}\)-\(\frac{2007}{4018}\)
\(\frac{1}{x+1}\)=\(\frac{1}{2009}\)
x+1=2009
x=2009-1
x=2008
Tìm x biết:
2016*2016-2015*2017+x=2016
Đặt A=2016*2016-2015*2017,ta có:
A=2016 *2016 - 2015 *2017
A=2016*(2015+1)-2015*(2016+1)
A=(2016*2015+2016)-(2015*2016+2015)
A=2016*2015+2016-2015*2016-2015
A=2016-2015=1
Mà A+x=2016
=>1+x=2016
=>x=2016-1
=>x=2015
Vậy x=2015...k nha mk đang âm điểm
2016 × 2016 - 2015 × 2017 + x = 2016
4 064 256 - 4 064 255 + x = 2016
1 + x = 2016
x = 2016 - 1
x = 2015. Vậy x = 2015
Tìm các số nguyên x; y biết: x^2013+ x^2014+ 2009^2015= y^2015+ y^2016+ 2010^2016