| 17x-5 | - | 17x+5| = 0

=> | 17x-5 | = 0 +  | 17x+5| 

=> | 17x-5 | = 17x+5

=> ...

1)

a)|17x-5|-|17x+5|=0

   17x-5=0 hoặc 17x+5=0

    17x=0+5       17x=0-5

     17x=5          17x=-5

      x=5:17        x=-5:17

      x=5/17         x=-5/17

mình cũng đang bí bài này ai giúp với

1.\(\left|9-7x\right|=5x-3\)

\(\Leftrightarrow\orbr{\begin{cases}9-7x=5x-3\\9-7x=-5x-3\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}-7x-5x=-9-3\\-7x+5x=-9-3\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}-12x=-12\\-2x=-12\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=-12:\left(-12\right)\\x=-12:\left(-2\right)\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=6\end{cases}}\)

2.\(8x-\left|4x+1\right|=x+2\)

\(\Rightarrow\left|4x+1\right|=8x-x+2\)

\(\Rightarrow\left|4x+1\right|=7x+2\)

\(\Leftrightarrow\orbr{\begin{cases}4x+1=7x+2\\4x+1=-7x+2\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}4x-7x=2-1\\4x+7x=2-1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}-3x=1\\11x=1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=1:\left(-3\right)\\x=1:11\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{3}\\x=\frac{1}{11}\end{cases}}\)

Đề??.

=>|17x-5|=|17x+5|

=>17x-5=17x+5(vô lý) hoặc 17x-5=-17x-5

=>34x=0

hay x=0

\(\left|17x-5\right|=\left|17x+5\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}17x-5=17x+5\\17x-5=-5-17x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-5=5\left(loai\right)\\34x=0\end{matrix}\right.\Leftrightarrow x=0\)

\(\Leftrightarrow\left|17x-5\right|=\left|17x+5\right|\)

Xét \(17x-5\ge0\)

\(\Rightarrow17x-5=17x+5\left(voli\right)\)

Xét \(17x-5< 0\)

\(\Rightarrow17x-5=-17x-5\)

\(\Leftrightarrow34x=0\Leftrightarrow x=0\)

Vậy \(S=\left\{0\right\}\)

lười vl , cần gấp k

<=> |17x - 5| = |17x + 5|

=> 17x - 5 = 17x + 5 hoặc 17x - 5 = -17x - 5

=> 0x = 10(loại) hoặc 34x = 0

<=> x = 0.

pt <=> | 17x - 5 | = | 17x + 5 |

\(\Leftrightarrow\orbr{\begin{cases}17x-5=17x+5\left(loai\right)\\17x-5=-17x-5\end{cases}}\)

\(\Leftrightarrow17x=-17x\)

\(\Leftrightarrow x=-x\)

\(\Leftrightarrow x=0\)