
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


\(a.\frac{x}{7}=\frac{x+16}{35}\)
\(\Rightarrow35x=7\left(x+16\right)\)
\(\Rightarrow35x=7x+112\)
\(\Rightarrow35x-7x=112\)
\(\Rightarrow28x=112\)
\(\Rightarrow x=112:28\)
\(\Rightarrow x=4\)
\(b.\frac{2-x}{16}=\frac{-4}{x-2}\)
\(\Rightarrow\frac{-\left(x-2\right)}{16}=\frac{-4}{x-2}\)
\(\Rightarrow\frac{x-2}{16}=\frac{4}{x-2}\)
\(\Rightarrow\left(x-2\right)^2=4.16\)
\(\Rightarrow\left(x-2\right)^2=64\)
\(\Rightarrow\left(x-2\right)^2=\left(\pm8\right)^2\)
\(\Rightarrow x-2=8\) hoặc \(x-2=-8\)
+) Nếu \(x-2=8\)
\(\Rightarrow x=8+2\)
\(\Rightarrow x=10\)
+) Nếu \(x-2=-8\)
\(\Rightarrow x=-8+2\)
\(\Rightarrow x=-6\)
Vậy \(x=10;x=-6\)

(x + \(\dfrac{1}{2}\) ) + (x + \(\dfrac{1}{8}\) ) + (x+\(\dfrac{1}{8}\))+(x+\(\dfrac{1}{16}\))=1
4x + \(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}\)=1
4x +\(\dfrac{15}{16}\)=1
4x = 1 -\(\dfrac{15}{16}\)
4x=\(\dfrac{1}{16}\)
x=\(\dfrac{1}{16}\div4\)
x=\(\dfrac{1}{64}\)

\(A=1\dfrac{1}{15}.1\dfrac{1}{16}.1\dfrac{1}{17}......1\dfrac{1}{2016}.1\dfrac{1}{2017}\)
\(A=\dfrac{16}{15}.\dfrac{17}{16}.\dfrac{18}{17}......\dfrac{2017}{2016}.\dfrac{2018}{2017}\)
\(A=\dfrac{16.17.18......2017.2018}{15.16.17......2016.2017}\)
\(A=\dfrac{2018}{15}\)

vì x + 16 ⋮ x + 1
x+1⋮ x+1
=>(x+16)-(x+1)\(⋮x+1\)
=>\(15⋮x+1\)
=>(x+1)\(\inƯ\left(15\right)\) ={\(\pm1;\pm3;\pm5;\pm15\) }
ta có bảng
x+1 | -1 | 1 | -3 | 3 | -5 | 5 | -15 | 15 |
x | -2 | 0 | -4 | 2 | -6 | 4 | -16 | 14 |
vậy x\(\in\left\{-16;-6;-4;-2;0;2;4;14\right\}\)
x + 11 ⋮ x + 1
vì \(x+1⋮x+1\)
=>\(\left(x+11\right)-\left(x+1\right)⋮\left(x+1\right)\)
=>\(\left(x+11-0x-1\right)⋮\left(x+1\right)\)
=> \(10⋮x+1\)
=>\(x+1\inƯ\left(10\right)=\left\{\pm1;\pm2;\pm5;\pm10\right\}\)
ta có bảng sau:
x+1 | -10 | -5 | -2 | -1 | 1 | 2 | 5 | 10 |
x | -11 | -6 | -3 | -2 | 0 | 1 | 4 |
9 |
vậy\(x\in\left\{-11;-6;-3;-2;0;1;4;9\right\}\)

\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)
\(\Rightarrow x+\frac{1}{2}+x+\frac{1}{4}+x+\frac{1}{8}+x+\frac{1}{16}=1\)
\(\Rightarrow\left(x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)
\(\Rightarrow4x+\frac{15}{16}=1\)
\(\Rightarrow4x=1-\frac{15}{16}\)
\(\Rightarrow4x=\frac{1}{16}\)
\(\Rightarrow x=\frac{1}{16}:4\)
\(\Rightarrow x=\frac{1}{64}\)
\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)
\(4x+\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}=1\)
\(4x+\frac{15}{16}=1\)
\(4x=\frac{1}{16}\)
\(x=\frac{1}{64}\)
Vậy......

3: Trường hợp 1: x<-3
Pt sẽ là -x-2-x-3=x
=>-2x-5=x
=>-3x=5
hay x=-5/3(loại)
Trường hợp 2: -3<=x<-2
Pt sẽ là -x-2+x+3=x
=>x=1(loại)
TRường hợp 3: x>=-2
Pt sẽ là x+2+x+3=x
=>2x+5=x
hay x=-5(loại)

phamthiminhtrang
\(a,x=\frac{3}{6}-\frac{8}{16}\)
\(\Rightarrow x=0\)
\(b,\frac{12}{16}:x=\frac{32}{64}\)
\(x=\frac{12}{16}:\frac{32}{64}\)
\(x=\frac{12}{16}\cdot\frac{64}{32}\)
\(x=\frac{3}{8}\)
\(a,\)\(x\)\(=\frac{3}{6}-\frac{8}{16}=\frac{1}{2}-\frac{1}{2}=0\)
\(b,\)\(\frac{12}{16}\)\(:\)\(x\)\(=\frac{32}{64}\)
\(=>\) \(x\)\(=\)\(\frac{12}{16}:\frac{32}{64}\)
\(x\) \(=\)\(\frac{12}{16}.\frac{64}{32}\)
\(x\)\(=\)\(\frac{3}{4}.2\)
\(x\)\(=\)\(\frac{6}{4}=\frac{3}{2}\)
\(x+16⋮x+1\\ =>x+1+15⋮x+1\\ =>15⋮x+1\)
Nên x+1 là ước của 15
\(=>x+1=\left\{1,3,5,15,-1,-3,-5,-15\right\}\)
\(=>x=...\)