Tìm x biết: 2016 x 2016 - 2015 x 2017 + x = 2016.
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Ta có:
x biết: 2016 x 2016 - 2015 x 2017 + x = 2016
x = 2015 x 2017 + 2016 - 2016 x 2016
x = 2015 x 2017 + 2016 x (1 - 2016)
x = 2015 x 2017 - 2015 x 2016
x = 2015 x (2017 - 2016)
x = 2015 x 1
x = 2015
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
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
Ta có: \(\frac{x-2019}{2018}+\frac{x-2018}{2017}=\frac{x-2017}{2016}+\frac{x-2016}{2015}\)
\(\Leftrightarrow\left(\frac{x-2019}{2018}+1\right)+\left(\frac{x-2018}{2017}+1\right)=\left(\frac{x-2017}{2016}+1\right)+\left(\frac{x-2016}{2015}+1\right)\)
\(\Leftrightarrow\frac{x-1}{2018}+\frac{x-1}{2017}=\frac{x-1}{2016}+\frac{x-1}{2015}\)
\(\Leftrightarrow\frac{x-1}{2018}+\frac{x-1}{2017}-\frac{x-1}{2016}-\frac{x-1}{2015}=0\)
\(\Leftrightarrow\left(x-1\right)\left(\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2016}-\frac{1}{2015}\right)=0\)
\(\Leftrightarrow x-1=0\)( vì \(\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2016}-\frac{1}{2015}\ne0\))
\(\Leftrightarrow x=1\)
Vạy x=1
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
x=2015
Nếu đúng thì k cho mình nhé