[x+1]+[x+2]+[x+3]+[x+4]+[x+5]=115
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
1: Ta có: \(\left(x+3\right)^2-\left(x+2\right)\left(x-2\right)=4x+17\)
\(\Leftrightarrow x^2+6x+9-x^2+4-4x=17\)
\(\Leftrightarrow x=2\)
3: Ta có: \(\left(2x+3\right)\left(x-1\right)+\left(2x-3\right)\left(1-x\right)=0\)
\(\Leftrightarrow2x^2-2x+3x-3+2x-2x^2-3+3x=0\)
\(\Leftrightarrow6x=6\)
hay x=1
![](https://rs.olm.vn/images/avt/0.png?1311)
1: =>3^x=81
=>x=4
2: =>2^x=8
=>x=3
3: =>x^3=2^3
=>x=2
4: =>x^20-x=0
=>x(x^19-1)=0
=>x=0 hoặc x=1
5: =>2^x=32
=>x=5
6: =>(2x+1)^3=9^3
=>2x+1=9
=>2x=8
=>x=4
7: =>x^3=115
=>\(x=\sqrt[3]{115}\)
8: =>(2x-15)^5-(2x-15)^3=0
=>(2x-15)^3*[(2x-15)^2-1]=0
=>2x-15=0 hoặc (2x-15)^2-1=0
=>2x-15=0 hoặc 2x-15=1 hoặc 2x-15=-1
=>x=15/2 hoặc x=8 hoặc x=7
1. Tìm số tự nhiên x biết:
1) \(3^x.3=243\)
\(3^x=243:3\)
\(3^x=81\)
\(3^x=3^4\)
\(\Rightarrow x=4\)
_____
2) \(7.2^x=56\)
\(2^x=56:7\)
\(2^x=8\)
\(2^x=2^3\)
\(\Rightarrow x=3\)
_____
3) \(x^3=8\)
\(x^3=2^3\)
\(\Rightarrow x=3\)
_____
4) \(x^{20}=x\)
\(x^{20}-x=0\)
\(x\left(x^{19}-1\right)=0\)
\(\Rightarrow x=0\) hoặc \(x=1\)
5) \(2^x-15=17\)
\(2^x=17+15\)
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
_____
6) \(\left(2x+1\right)^3=9.81\)
\(\left(2x+1\right)^3=729=9^3\)
\(\rightarrow2x+1=9\)
\(2x=9-1\)
\(2x=8\)
\(x=8:2\)
\(\Rightarrow x=4\)
_____
7) \(x^6:x^3=125\)
\(x^3=125\)
\(x^3=5^3\)
\(\Rightarrow x=5\)
_____
8) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\left(2x-15\right)^3.\left[\left(2x-15\right)^2-1\right]=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=7\\x=8\end{matrix}\right.\)
_____
9) \(3^{x+2}-5.3^x=36\)
\(3^x.\left(3^2-5\right)=36\)
\(3^x.\left(9-5\right)=36\)
\(3^x.4=36\)
\(3^x=36:4\)
\(3^x=9\)
\(3^x=3^2\)
\(\Rightarrow x=2\)
_____
10) \(7.4^{x-1}+4^{x+1}=23\)
\(\rightarrow7.4^{x-1}+4^{x-1}.4^2=23\)
\(4^{x-1}.\left(7+4^2\right)=23\)
\(4^{x-1}.\left(7+16\right)=23\)
\(4^{x-1}.23=23\)
\(4^{x-1}=23:23\)
\(4^{x-1}=1\)
\(4^{x-1}=4^1\)
\(\rightarrow x-1=0\)
\(x=0+1\)
\(\Rightarrow x=1\)
Chúc bạn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,121-\left(115+x\right)=3x-\left(25-9-5x\right)-8\\ 121-115-x=3x-25+9+5x-8\\ 6-x=8x-24\\ 8x+x=-24-6\\ 9x=-30\\ x=-\dfrac{30}{9}=-\dfrac{10}{3}\\ ----\\ b,2^{x+2}.3^{x+1}.5^x=10800\\ \left(2.3.5\right)^x.2^2.3=10800\\ 30^x.12=10800\\ 30^x=\dfrac{10800}{12}=900=30^2\\ Vậy:x=2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) (-1)3 + (-2)3 + (-3)3 - |x+5| = (5 - 6 -7)3
(-1) -8 - 27 - |x+5| = -512
|x+5| = 476
=> x + 5 = 476 hoặc x + 5 = -476
=> x = 472 => x = -481
Vậy....
2) [(x-3)2 - 9] . [(x-1)2-1]=0
( x - 3 - 3).(x - 3 + 3).(x - 1 - 1).(x - 1 +1) =0
( x - 6) . (x - 0) . (x - 2) . (x - 0) = 0
=> x - 6 = 0 hoặc x - 0 = 0 hoặc x - 2 = 0
=> x = 6 => x = 0 => x = 2
Vậy...
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x - 1845 = 115 x 2 - 25 x 3
x - 1845 = 230 - 75
x - 1845 = 155
x = 155 + 1845
\(b,230+35x4=x+\frac{700}{5}+30\)
230 + 140 = x + 140 + 30
370 = x + 170
x = 370 - 170
x = 200
a) x - 1845 = 115 x 2 - 25 x 3
x - 1845 = 230 - 75
x - 1845 = 155
x = 155 + 1845
x = 2000
Vậy x = 2000
b) 230 + 35 x 4 = x + 700 / 5+30
370 = x + 140 + 30
370 = x + 170
x = 370 - 170
x = 200
Vậy x = 200
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a: 4x+320=480
=>4x=160
hay x=40
b: 150-x:7=120
=>x:7=30
hay x=210
![](https://rs.olm.vn/images/avt/0.png?1311)
Bạn có sai đề không vậy? Nếu đúng ra phải là (a + 1) + (a + 2) + (a + 3) + (a + 4) + (a + 5) = 115 chứ
Nếu bạn sai đề thì mình giải nè:
a x 5 + (1 + 2 + 3 + 4 + 5) = 115
a x 5 + 15 = 115
a x 5 = 100
a = 100 :5
a = 20
5x + 1 + 2 + 3 + 4 + 5 = 115
5x + 15 = 115
x = 115 : 15
x = bạn tư tính
Đáp án :20