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a) (2x + 1)3 = 125
2x + 1 = 5
2x = 4
x = 2
b) x15 = x
x = 0 hoặc x = 1 hoặc x = - 1
c) (x - 5)4 = (x - 5)6
x - 5 = 0 hoặc x - 5 = 1 hoặc x - 5 = - 1
x = 5 hoặc x = 6 hoặc x = 4
d) (x + 1) + (x + 2) + (x + 3) + ... + (x + 100) = 5750
100x + 1 + 2 + 3 + ... + 100 = 5750
100x + 5050 = 5750
100x = 700
x = 7
a) \(???\)
b) \(123x+877x=2000\)
\(1000x=2000\)
\(x=2000:1000\)
\(x=2\)
c) \(2x.\left(x-10\right)=0\)
=> \(x-10=0\)
\(x=10\)
d)\(6.\left(x+2\right)-\left(4x+10\right)=100\)
\(6.x+12-4x+10=100\)
\(2x+2=100\)
\(2x=98\)
\(x=98:2\)
\(x=49\)
e) \(x.\left(x+1\right)=2+4+6+8+...+2500\)
\(x.\left(x+1\right)=1563750\)
mà ta thấy : \(1250.1251=1563750\)
=> \(x=1250\)
g)\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)
\(x.100+5050=5750\)
\(x.100=5750-5050\)
\(x.100=700\)
\(x=7\)
b) /x-1/=0
x-1=0
x=1
Vậy x=1
c) 2./x-3/=6
|x-3|=3
\(\Rightarrow\orbr{\begin{cases}x-3=3\\x-3=-3\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=6\\x=0\end{cases}}\)
a,
A = 4 + 22 + 23 + 24 + .. + 220
Đặt A1 = 22 + 23 + 24 + .. + 220
2A1 = 2.( 22 + 23 + 24 + .. + 220)
= 23 + 24 + 25 + ... + 22
2A1 - A1 = (22 + 23 + 24 + .. + 220) - (23 + 24 + 25 + ... + 22 )
A1 = 221 - 22
= 221 - 4
=> A = 4 + 221 - 4
=> A = 221
c,x-1 là ước của 5
\(\Rightarrow5⋮x-1\Rightarrow x-1\inƯ\left(5\right)=\left\{\pm1;\pm5\right\}\)
\(\Rightarrow x\in\left\{2;0;6;-4\right\}\)
Vậy.......................
d,\(7⋮3x+2\)
\(\Rightarrow3x+2\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\)
\(\Rightarrow x\in\left\{-\frac{1}{3};-1;\frac{5}{3};-3\right\}\)
Vậy.........................
e;\(x+2⋮x-1\Rightarrow\left(x-1\right)+3⋮x-1\)
\(\Rightarrow3⋮x-1\Rightarrow x-1\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
\(\Rightarrow x\in\left\{2;0;4;-2\right\}\)
Vậy..........................
f;\(2x+1⋮x-3\Rightarrow2\left(x-3\right)+7⋮x-3\)
\(\Rightarrow7⋮x-3\Rightarrow x-3\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\)
\(\Rightarrow4;2;10;-4\)
Vậy.............................
g,\(\left(x-1\right)+\left(x-2\right)+\left(x-3\right)+......+\left(x-99\right)+\left(x-100\right)=-5750\)
\(\Rightarrow\left(x+x+x+.....+x+x\right)-\left(1+2+3+......+99+100\right)=-5750\)
\(\Rightarrow100x-5050=-5750\)
\(\Rightarrow100x=-700\)
\(\Rightarrow x=-7\)
a)720:[41-(2x-5)]=40
41-(2x-5)=720:40
41-(2x-5)=18
2x-5=41-18
2x-5=23
2x=28
x=14
b: Ta có: \(\left(3x-7\right)^5=32\)
\(\Leftrightarrow3x-7=2\)
hay x=3