a) |x-5|=3

=> x-5=3 hoặc x-5=-3

=> x=8 hoặc x=-2

Vậy.......................

b) |1-x|=7

=> 1-x=7 hoặc 1-x=-7

=> x=-6 hoặc x=8

Vậy..........................

c) |2x+5|=1

=> 2x+5=1 hoặc 2x+5=-1

=> x=-2 hoặc x=-3

Vậy............................

Đặt \(A=2+2^2+2^3+...+2^{15}\)

\(\Rightarrow2A=2^2+2^3+2^4...+2^{15}+2^{16}\)

\(\Rightarrow2A-A=\left(2^2+2^3+2^4+...+2^{16}\right)-\left(2+2^2+2^3+...+2^{15}\right)\)

\(\Rightarrow2A-A=A=2^{16}-2\)

Vậy \(2+2^2+2^3+...+2^{15}=2^{16}-2\)

2+2² +2³+2⁴+......+2¹⁵

Gọi tên biểu thức trên là A

A=2+2² +2³+2⁴+......+2¹⁵

2.A=2.(2+2² +2³+2⁴+......+2¹⁵)

2.A=2² +2³+2⁴+......+2¹⁵+2¹⁶

2.A-A=(2² +2³+2⁴+......+2¹⁵+2¹⁶)-(2+2² +2³+2⁴+......+2¹⁵)

A=2² +2³+2⁴+......+2¹⁵+2¹⁶-2-2²-2³-2⁴+......-2¹⁵

A=2¹⁶-2

A=65534

1: =>15-2x=-11

=>2x=26

hay x=13

ủa cho em hỏi ý a,b,c đâu ạ . chứ chị giải kiểu vậy em hong có hỉu , mong chị trả lời em ạ 

sửa lại nè :

E = 4/3 + 4/15 + 4/35 + ... + 4/2015.2016

Giai

E = 4/3 + 4/15 + 4/35 + ... + 4/2015.2016

\(E=\frac{4}{1.3}+\frac{4}{3.5}+\frac{4}{5.7}+...+\frac{4}{2015.2017}\)

\(E=4.\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{2015.2017}\right)\)

\(E=2.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2015}-\frac{1}{2017}\right)\)

\(E=2.\left(1-\frac{1}{2017}\right)\)

\(E=2.\frac{2016}{2017}\)

\(E=\frac{4032}{2017}\)

a)

 \(\left(2x-15\right)^5=\left(2x-15\right)^3\\ \Leftrightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\\ \Leftrightarrow\left(2x-15\right)^3.\left[\left(2x-15\right)^2-1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}2x-15=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}2x-15=0\\\left(2x-15-1\right).\left(2d-15+1\right)=0\end{matrix}\right.\\\Leftrightarrow\left[{}\begin{matrix}2x-15=0\\2x-16=0\\2x-14=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=8\\x=7\end{matrix}\right. \)

b) \(\left(7x-11\right)^3=\left(-3\right)^2.15+208\\ \Leftrightarrow\left(7x-11\right)^3=343=7^3\\ \Leftrightarrow7x-11=7\\ \Leftrightarrow x=\dfrac{18}{7}\)

hinh nhu = 2

ai trả lời mình h cho