= x-4-1 =10-2x

x= 5

tôi yêu violympic

<=> x - 4 - 1 = 10 - 2x

x = 5

(đúg chứ?)

=> x-4-1=10-2x hay x-4-1-10+2x=0

                            => 3x-15=0

                             => 3x=15

                             => x=5

 mình chắc chắn

ta kó:
\(\frac{x-4}{2015}-\frac{1}{2015}=\frac{10-2x}{2015}\)

=>\(\frac{x-4-1}{2015}=\frac{10-2x}{2015}\)

=>x-5=10-2x

=>3x=15

=>x=5

Sai rồi Trịnh Xuân Diện ơi.

x=5 đúng rùi đấy mình làm rùi

\(\frac{x-4-1}{2015}=\frac{10-2x}{2015}\)

=> x-4-1=10-2x

x+2x=10+4+1

3x=15

x=15/3

x=5

Vậy x=5

     \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{x+y+z}\left(x;y;z,x+y+z\ne0\right)\)

\(\Rightarrow\frac{xy+yz+xz}{xyz}=\frac{1}{x+y+z}\)

\(\Rightarrow\left(xy+yz+xz\right)\left(x+y+z\right)=xyz\)

\(\Leftrightarrow\left(xy+yz+xz\right)\left(x+y+z\right)-xyz=0\)

\(\Leftrightarrow\left(xy+yz\right)\left(x+y+z\right)+xz\left(x+z\right)=0\)

\(\Leftrightarrow y\left(x+z\right)\left(x+y+z\right)+xz\left(x+z\right)=0\)

\(\Leftrightarrow\left(x+z\right)\left(xy+y^2+yz\right)+xz\left(x+z\right)=0\)

\(\Leftrightarrow\left(x+z\right)\left(xy+y^2+yz+xz\right)=0\)

\(\Leftrightarrow\left(x+z\right)\left[y\left(x+y\right)+z\left(x+y\right)\right]=0\)

\(\Leftrightarrow\left(x+z\right)\left(x+y\right)\left(y+z\right)=0\)

Từ đó \(x=-z\)hoặc \(x=-y\)hoặc \(y=-z\)

-Nếu \(x=-z\Rightarrow z^{2017}+x^{2017}=0\Rightarrow M=\frac{19}{4}+0=\frac{19}{4}\)

Tương tự với các trường hợp còn lại, ta cũng tính được \(M=\frac{19}{4}\)

tự túc

Từ giả thiết ta có ngay \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{x+y+z}\)

\(\Leftrightarrow\left(\frac{1}{x}+\frac{1}{y}\right)+\left(\frac{1}{z}-\frac{1}{x+y+z}\right)=0\)

\(\Leftrightarrow\frac{x+y}{xy}+\frac{x+y}{z\left(x+y+z\right)}=0\)

\(\Leftrightarrow\left(x+y\right)\left[\frac{1}{xy}+\frac{1}{z\left(x+y+z\right)}\right]=0\)

\(\Leftrightarrow\frac{\left(x+y\right)\left(y+z\right)\left(z+x\right)}{xyz\left(x+y+z\right)}=0\)

\(\Rightarrow\left(x+y\right)\left(y+z\right)\left(z+x\right)=0\)

Suy ra x + y = 0 hoặc y + z = 0 hoặc z + x = 0

Tới đây bạn tự làm nhé :)

\(A=1-\frac{1}{2015}\)

\(A+\frac{1}{2015}=2x\Leftrightarrow1-\frac{1}{2015}+\frac{1}{2015}=2x\Leftrightarrow2x=1\Rightarrow x=\frac{1}{2}\)

A=1\(-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-....+\frac{1}{2014}-\frac{1}{2015}\)

=> A= \(1-\frac{1}{2015}\)

A=\(\frac{2014}{2015}\)

A+\(\frac{1}{2015}=2x\)

<=>\(\frac{2014}{2015}+\frac{1}{2015}=2x\)

=>\(2x=1\)

\(=>x=\frac{1}{2}\)

\(\frac{x-4}{2015}-\frac{1}{2015}=\frac{10-2x}{2015}\)

\(\Rightarrow\frac{x-4}{2015}-\frac{10-2x}{2015}=\frac{1}{2015}\)

\(\Rightarrow\frac{x-4-\left(10-2x\right)}{2015}=\frac{1}{2015}\)

\(\Rightarrow\frac{\left(x+2x\right)-\left(4+10\right)}{2015}=\frac{1}{2015}\)

\(\Rightarrow\frac{3x-14}{2015}=\frac{1}{2015}\)

\(\Rightarrow\left(3x-14\right).2015=2015\)

\(\Rightarrow3x-14=1\) ( bớt cả 2 vế đi 2015 lần )

\(\Rightarrow3x=15\)

\(\Rightarrow x=5\)

Vậy \(x=5\)

X=5