tìm x biet 2x+2 - 2x +96 = ?
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![](https://rs.olm.vn/images/avt/0.png?1311)
a: =>12x-64=32
=>12x=96
=>x=8
b: =>x-1=5
=>x=6
c: =>2^x*3=96
=>2^x=32
=>x=5
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1,\Leftrightarrow x^2+10x+25=x^2-4x-21\\ \Leftrightarrow14x=-46\\ \Leftrightarrow x=-\dfrac{23}{7}\\ 2,\Leftrightarrow x^3+8=15+x^3+2x\\ \Leftrightarrow2x=-7\Leftrightarrow x=-\dfrac{7}{2}\\ 3,\Leftrightarrow\left(x+3\right)^2=0\\ \Leftrightarrow x=-3\\ 4,\Leftrightarrow x^3-9x^2+27x-27=0\\ \Leftrightarrow\left(x-3\right)^3=0\\ \Leftrightarrow x-3=0\Leftrightarrow x=3\\ 5,\Leftrightarrow4x^2+4x+1-4x^2-16x-16=9\\ \Leftrightarrow-12x=24\Leftrightarrow x=-2\\ 6,\Leftrightarrow x^2-3x+5x-15=0\\ \Leftrightarrow\left(x-3\right)\left(x+5\right)=0\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2x + 2x + 1 = 96
2x + 2x . 2 = 96
2x . (1 + 2) = 96
2x . 3 = 96
2x = 96 : 3
2x = 32
2x = 25
x = 5
![](https://rs.olm.vn/images/avt/0.png?1311)
(2x+1) + (2x+2) + (2x+3) +.....+ (2x+2015) = 0
=> 2015.2x + (1+2+3+...+2015) = 0
=> 4030x + 2031120 = 0
=> 4030x = -2031120
=> x = -504
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2^{n+2}-2x=96\)
=> \(2^x.\left(2^2-1\right)=96\)
=> \(2^x.3=96\)
=> \(2^x=32\)
=> \(2^x=2^5\)
=> \(x=5\)
Vậy x = 5
2x+2-2x=96
2x.22-2x=96
2x.(22-1)=96
2x.3=96
2x=96:3
2x=32
2x=25
x=5
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
(2x+1)2=25
=> \(\left[\begin{array}{nghiempt}2x+1=5\\2x+1=-5\end{array}\right.\)
=>\(\left[\begin{array}{nghiempt}2x=4\\2x=-6\end{array}\right.\Rightarrow\left[\begin{array}{nghiempt}x=2\\x=-3\end{array}\right.\)
d)
(x-1)3=-125
=> x-1=-5
=> x=-4
còn câu b và c bạn viết đề rõ hơn nha
![](https://rs.olm.vn/images/avt/0.png?1311)
e) 96-5(2x-1)=41
5(2x-1)= 96-41
5(2x-1)=55
2x-1=55:5
2x-1=11
2x=11+1
2x=12
x=12:2
x=6
![](https://rs.olm.vn/images/avt/0.png?1311)
Xét cấp số cộng 1, 6, 11, ..., 96.
Ta có: 96 = 1 + 5(n − 1) ⇒ n = 20
Suy ra
Và 2x.20 + 970 = 1010
Từ đó x = 1