Tìm X
a)5,5x - 2x = 3,475 + 21,025
b)13,7x + (-2,2x) = -25,6 - 43,4
c)5x - 16 = 40 + x
d) -12 + x = 5x -20
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a) <=> |-5X| =3X +16
DK : X >-16/3
-5X = 3X +16 HOAC -5X =-3X-16
-8X = 16 HOAC -2X = -16
X= -2 HOAC X= 8
VẬY S= {-2; 8}
b) <=> 3X +X = 1+2
<=> 4X = 3
<=> X=3/4
VẬY S={3/4}
c) DK : X> 10/4
-2X = 4X-10 HOAC -2X = -4X +10
-6X = 10 HOAC 2X = 10
X= -5/3 (LOAI) HOAC X= 5 (NHAN)
VẬY S={5}
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
c) \(x^3-9x^2+6x+16=x^3-8x^2-x^2+8x-2x+16\)
\(=x^2\left(x-8\right)-x\left(x-8\right)-2\left(x-8\right)=\left(x-8\right)\left(x^2-x-2\right)=\left(x-8\right)\left(x-2\right)\left(x+1\right)\)
d) \(2x^3+3x^2+3x+1=\left(2x+1\right)\left(x^2+x+1\right)\)
e) \(2x^3-5x^2+5x-3=\left(2x-3\right)\left(x^2-x+1\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5x-16=40+x\)
\(\Leftrightarrow5x=40+x+16\)
\(\Leftrightarrow5x=x+56\)
\(\Leftrightarrow5x-x=56\)
\(\Leftrightarrow4x=56\)
\(\Leftrightarrow x=14\)
Vậy \(x=14\)
\(5x-7=-21-2x\)
\(\Leftrightarrow5x-7+21=-2x\)
\(\Leftrightarrow5x+14=-2x\)
\(\Leftrightarrow-2x-5x=14\)
\(\Leftrightarrow-7x=14\)
\(\Leftrightarrow x=-2\)
Vậy \(x=-2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)\(2x+3x=1505\)
=>\(x\left(2+3\right)=1505\)
=>x.5=1505
=>x=1505:5
=>x=301
b)\(5x-x=4088\)
=>x(5-1)=4088
=>x.4=4088
=>x=4088:4
=>x=1022
a) 2x + 3x = 1505
(2 + 3)x = 1505
5x = 1505
x = 1505 : 5
x = 301
b) 5x - x = 4088
5x - 1x = 4088
(5 - 1)x = 4088
4x = 4088
x = 4088 : 4
x = 1022
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\Leftrightarrow\left[{}\begin{matrix}x+5=0\\2x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=-\dfrac{1}{2}\end{matrix}\right.\\ b,\Leftrightarrow\left(x+2\right)\left(x-3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=3\end{matrix}\right.\\ c,\Leftrightarrow2x^2-10x-3x-2x^2=26\\ \Leftrightarrow-13x=26\Leftrightarrow x=-2\\ d,\Leftrightarrow x^2-18x+16=0\\ \Leftrightarrow\left(x^2-18x+81\right)-65=0\\ \Leftrightarrow\left(x-9\right)^2-65=0\\ \Leftrightarrow\left(x-9+\sqrt{65}\right)\left(x-9-\sqrt{65}\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=9-\sqrt{65}\\9+\sqrt{65}\end{matrix}\right.\)
\(e,\Leftrightarrow x^2-10x-25=0\\ \Leftrightarrow\left(x-5\right)^2-50=0\\ \Leftrightarrow\left(x-5-5\sqrt{2}\right)\left(x-5+5\sqrt{2}\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=5+5\sqrt{2}\\x=5-5\sqrt{2}\end{matrix}\right.\\ f,\Leftrightarrow5x\left(x-1\right)-\left(x-1\right)=0\\ \Leftrightarrow\left(x-1\right)\left(5x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{5}\end{matrix}\right.\\ g,\Leftrightarrow2\left(x+5\right)-x\left(x+5\right)=0\\ \Leftrightarrow\left(2-x\right)\left(x+5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\\ h,\Leftrightarrow x^2+2x+3x+6=0\\ \Leftrightarrow\left(x+3\right)\left(x+2\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-2\end{matrix}\right.\\ i,\Leftrightarrow4x^2-12x+9-4x^2+4=49\\ \Leftrightarrow-12x=36\Leftrightarrow x=-3\)
\(j,\Leftrightarrow x^2\left(x+1\right)+\left(x+1\right)=0\Leftrightarrow\left(x^2+1\right)\left(x+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x^2=-1\left(vô.lí\right)\\x=-1\end{matrix}\right.\Leftrightarrow x=-1\\ k,\Leftrightarrow x^2\left(x-1\right)=4\left(x-1\right)^2\\ \Leftrightarrow x^2\left(x-1\right)-4\left(x-1\right)^2=0\\ \Leftrightarrow\left(x-1\right)\left(x^2-4x+4\right)=0\\ \Leftrightarrow\left(x-1\right)\left(x-2\right)^2=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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