|17x-5|-|17x+5|=0
|3x+4|=2|2x-9|
||x+5|-4|=3
giải pt
a)//x+5/-4/=3
b)/17x-5/-/17x+5/=0
c)/3x+4/=2/2x-9/
\(\text{a) }\left|\left|x+5\right|-4\right|=3\)
- Xét \(x\ge-5\Leftrightarrow\left|x+1\right|=3\):
+) Với \(x\ge-1\Leftrightarrow x+1=3\)
\(\Leftrightarrow x=2\left(T/m\right)\)
+) Với \(-5\le x< -1\Leftrightarrow-x-1=3\)
\(\Leftrightarrow x=-4\left(T/m\right)\)
- Xét \(x< -5\Leftrightarrow\left|x-9\right|=3\)
+) Với \(-5< x< 9\Leftrightarrow9-x=3\)
\(\Leftrightarrow x=6\left(T/m\right)\)
+) Với \(x\ge9\left(loại\right)\)
Vậy phương trình có tập nghiệm \(S=\left\{2;-4;6\right\}\)
\(\text{b) }\left|17x-5\right|-\left|17x+5\right|=0\\ \Leftrightarrow\left|17x-5\right|=\left|17x+5\right|\\ \Leftrightarrow\left[{}\begin{matrix}17x-5=\left(17x+5\right)\\17x-5=-\left(17x+5\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}17x-5=17x+5\\17x-5=-17x-5\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}17x-17x=5+5\\17x+17x=-5+5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}0x=10\left(loại\right)\\34x=0\end{matrix}\right.\Leftrightarrow x=0\)
Vậy phương trình có nghiệm \(x=0\)
\(\text{c) }\left|3x+4\right|=2\left|2x-9\right|\\ \Leftrightarrow\left[{}\begin{matrix}3x+4=2\left(2x-9\right)\\3x+4=-2\left(2x-9\right)\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x+4=4x-18\\3x+4=-4x+18\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}3x-4x=-18-4\\3x+4x=18-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-x=-22\\7x=14\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=22\\x=2\end{matrix}\right.\)
Vậy phương trình có tập nghiệm \(S=\left\{2;22\right\}\)
tim x
|9-7X|=5x-3
|17x-5|-|17x+5|=0
|3x+4|=2.|2x-9|
5^x+2=625
(x-1)^x+2=(x-1)6x+4
a: =>|7x-9|=5x-3
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{3}{5}\\\left(7x-9-5x+3\right)\left(7x-9+5x-3\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{3}{5}\\\left(2x-6\right)\left(12x-12\right)=0\end{matrix}\right.\Leftrightarrow x\in\left\{3;1\right\}\)
b: =>|17x-5|=|17x+5|
=>17x-5=17x+5(vô lý) hoặc 17x-5=-17x-5
=>34x=0
hay x=0
c: =>|3x+4|=|4x-18|
=>4x-18=3x+4 hoặc 4x-18=-3x-4
=>x=22 hoặc 7x=14
=>x=22 hoặc x=2
Tìm x:
a. |x - 1| = 2x - 5
b. ||x + 5| - 4| = 3
c. |9 - 7x| = 5x - 3
d. 8x - |4x + 1| = x + 2
e. |17x - 5| - |17x +5| = 0
f. |3x + 4| = 2.|2x - 9|
Tìm x
/9-7x/=5x-38x-/4x+1/=x+2/17x-5/-/17x+5/=0/3x+4/=2/2x-9/1.\(\left|9-7x\right|=5x-3\)
\(\Leftrightarrow\orbr{\begin{cases}9-7x=5x-3\\9-7x=-5x-3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}-7x-5x=-9-3\\-7x+5x=-9-3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}-12x=-12\\-2x=-12\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-12:\left(-12\right)\\x=-12:\left(-2\right)\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=6\end{cases}}\)
2.\(8x-\left|4x+1\right|=x+2\)
\(\Rightarrow\left|4x+1\right|=8x-x+2\)
\(\Rightarrow\left|4x+1\right|=7x+2\)
\(\Leftrightarrow\orbr{\begin{cases}4x+1=7x+2\\4x+1=-7x+2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x-7x=2-1\\4x+7x=2-1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}-3x=1\\11x=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1:\left(-3\right)\\x=1:11\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{3}\\x=\frac{1}{11}\end{cases}}\)
1.tìm x
a. |17x-5| -|17x+5|=0
b |3x+4| =2*|2x-9|
2. tìm x
|x^2-3*x|+|(x+1)*(x-3)|=0
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
Tìm x : a) |9-7x| = 5x-3
b) 8x - | 4x +1 | = x+2
c) | 17x - 5 | - | 17x + 5 | = 0
d) | 3x +4 | = 2 | 2x - 9 |
e) | 10x + 7 | < 37
f) |3-8x| ≤19
g) | x + 3 | - 2x = | x-4 |
a: =>|7x-9|=5x-3
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{3}{5}\\\left(7x-9-5x+3\right)\left(7x-9+5x-3\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{3}{5}\\\left(2x-6\right)\left(12x-12\right)=0\end{matrix}\right.\Leftrightarrow x\in\left\{1;3\right\}\)
b: \(\Leftrightarrow\left|4x+1\right|=8x-x-2=7x-2\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{2}{7}\\\left(7x-2-4x-1\right)\left(7x-2+4x+1\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{2}{7}\\\left(3x-3\right)\left(11x-1\right)=0\end{matrix}\right.\Leftrightarrow x=1\)
c: |17x-5|=|17x+5|
=>17x-5=17x+5 hoặc 17x+5=5-17x
=>x=0
Tìm x : a) |9-7x| = 5x-3
b) 8x - | 4x +1 | = x+2
c) | 17x - 5 | - | 17x + 5 | = 0
d) | 3x +4 | = 2 | 2x - 9 |
e) | 10x + 7 | < 37
f) |3-8x| \(\le\)19
g) | x + 3 | - 2x = | x-4 |
chào các bạn,có 2 tốt bụng thì tk mik nhé,cần lắm những người như thế
a) |9-7x| = 5x-3
* 9-7x=5x-3 <=>x=1
* 9-7x=-(5x-3) <=> x=3
1,Tìm x biết: a, ||x+5|-4| = 3
b, |17x-5|-|17x+5|=0
c,|3x-1|<5
d, |2x-5|+4<25
2, Tìm GTNN của biểu thức: A=|x+4|-375
tìm x biết |x-1 =2x-5 b) ||x+5|-4| =3 c) |9-7x| =5x-3 d) 8x - |4x +1| =x+2 e) |17x - 5| - |17x + 5| =0 g) |3x +4| =2 |2x-9| h) Tìm x biết |10x+7|< 37 i) |3-8x|<_ ( bé thua hoặc bằng) 19 k) |x +3| -2x =|x-4|