a) 2^6 và 8^2;

8^2 = ( 2^4)^2 = 2^8 

 2^6 < 8^2

5^3 và 3^5 = 125 và 243 = 125 < 243

 3^2 và 2^3 = 9 và 8 = 9 > 8

2^6 và 6^2 

 6^2 = ( 

làm tiếp từ câu cuối phần a 

2^6 và 6^2 

2^6  = 64

6^2 = 36 

nên 2^6 > 6^2 

b)  A= 2009 x 2011 và B=2016 x 2016

ta thấy là 

2016 x 2016 > 2009 x 2011

nên B > A 

c) A=2015 x 2017 và B= 2016 x 2016 

A = 4064255

B = 4064256 

nên ta thấy B > A 

nha bạn chúc bạn học tốt nha 

tôi không biết

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

Với \(x>6\Rightarrow\left(x-5\right)^{2016}>1\)(VÔ lí)
Với \(x< 5\Rightarrow\left(x-6\right)^{2016}>1\left(voli\right)\)
Với \(5< x< 6\Rightarrow0< x-5< 1\Rightarrow\left(x-5\right)^{2016}< x-5\)
Và \(-1< x-6< 0\Rightarrow\left(x-6\right)^{2016}=\left(6-x\right)^{2016}< 6-x\)
\(\Rightarrow VP< x-5+6-x=1\left(voli\right)\)
Với x=5,6 là nghiệm của pt
Vậy :..

Ta có: \(\left\{{}\begin{matrix}x_1+x_2+x_3+...+x_{2016}+x_{2017}=0\\x_1+x_2=x_3+x_4=x_5+x_6=...=x_{2015}+x_{2016}=x_{2016}+x_{2017}=1\end{matrix}\right.\)

Từ \(x_1+x_2+x_3+...+x_{2016}+x_{2017}=0\)

\(\Rightarrow\left(x_1+x_2\right)+\left(x_3+x_4\right)+...+\left(x_{2015}+x_{2016}\right)+x_{2017}=0\)

\(\Rightarrow1+1+...+1+x_{2017}=0\)

\(\Rightarrow1008+x_{2017}=0\Leftrightarrow x_{2017}=-1008\)

Mà \(x_{2016}+x_{2017}=1\Leftrightarrow x_{2016}=1-x_{2017}=1009\)

a, 3 - 2x = 3 . (5 - x) + 4

    3 - 2x = 15 - 3x + 4

    -2x + 3x = 15 + 4 - 3

    x = 16

b, 4 - (7x + 2017) = 6 . (5 - x) - 2017

    4 - 7x - 2017 = 30 - 6x - 2017

    -7x + 6x = 30 - 2017 - 4 + 2017

    -x = 26

    x = -26

c, 15 - x . (x + 1) = 4 - x^2 + 2x

    15 - x^2 - x = 4 - x^2 + 2x

    -x^2 - x + x^2 - 2x = 4 - 15

    -3x = -11

    x = 11/3

d, -4 . (x - 5) + 2016 = 3 . (8 - x) - (2x - 2016)

-4x + 20 + 2016 = 24 - 3x - 2x + 2016

-4x + 3x +2x = 24 + 2016 - 20 - 2016

x = 4

đúng 100%

a) \(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\)

\(\Leftrightarrow\frac{x+2015}{5}+\frac{5}{5}+\frac{x+2016}{4}+\frac{4}{4}=\frac{x+2017}{3}+\frac{3}{3}+\frac{x+2018}{2}+\frac{2}{2}\)

\(\Leftrightarrow\frac{x+2020}{5}+\frac{x+2020}{4}=\frac{x+2020}{3}+\frac{x+2002}{2}\)

\(\frac{x+2020}{5}+\frac{x+2020}{4}-\frac{x+2020}{3}-\frac{x+2020}{2}=0\)

\(\Leftrightarrow\left(x+2020\right).\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\)

\(\Leftrightarrow x+2020=0\)

\(\Leftrightarrow x=-2020\)

Vậy : \(x=-2020\)

Chúc bạn học tốt !!

a) \(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\\ \left(\frac{x+2015}{5}+1\right)+\left(\frac{x+2016}{4}+1\right)=\left(\frac{x+2017}{3}+1\right)+\left(\frac{x+2018}{2}+1\right)\\ \frac{x+2020}{5}+\frac{x+2020}{4}=\frac{x+2020}{3}+\frac{x+2020}{2}\\ \frac{x+2020}{5}+\frac{x+2020}{4}-\frac{x+2020}{3}-\frac{x+2020}{2}=0\\ \left(x+2020\right)\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\\ \Rightarrow x+2020=0\\ \Rightarrow x=-2020\)

Vậy x = -2020

b) \(\frac{x+2015}{5}+\frac{x+2016}{6}=\frac{x+2017}{7}+\frac{x+2018}{8}\\ \left(\frac{x+2015}{5}-1\right)+\left(\frac{x+2016}{6}-1\right)=\left(\frac{x+2017}{7}-1\right)+\left(\frac{x+2018}{8}-1\right)\\ \frac{x+2010}{5}+\frac{x+2010}{6}=\frac{x+2010}{7}+\frac{x+2010}{8}\\ \frac{x+2010}{5}+\frac{x+2010}{6}-\frac{x+2010}{7}-\frac{x+2010}{8}=0\\ \left(x+2010\right)\left(\frac{1}{5}+\frac{1}{6}-\frac{1}{7}-\frac{1}{8}\right)=0\\ \Rightarrow x+2010=0\\ \Rightarrow x=-2010\)

Vậy x = -2010