Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
60 -3(x-3) = 51 (x + 2) + ( x + 4) + ( x + 6) + ....+ ( x +50) = 750
=> 3(x-3) = 60 - 51 Số số hạng của dãy 2 ; 4 ; 6 ; ....; 50 là:
=> 3(x-3) = 9 ( 50 - 2) : 2 + 1 = 25 ( số)
=> x -3 = 9 : 3 Tổng của dãy trên là : ( 50 + 2) . 25 : 2 = 650
=> x-3 = 3 Ta có : ( x + x +x +x +...+x) + 650 = 750
=> x = 3 + 3 25x
=> x = 6 => 25x + 650 = 750
=> 25x = 750 - 650
=> 25x = 100
=> x = 100 : 25
=> x = 4
Ta có:\(\left(x-2\right)^{10}=\left(x-2\right)^{12}\)
\(\Leftrightarrow\left(x-2\right)^{12}-\left(x-2\right)^{10}=0\)
\(\Leftrightarrow\left(x-2\right)^{10}\left[\left(x-2\right)^2-1\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x-2\right)^{10}=0\\\left(x-2\right)^2-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\\left(x-2\right)^2=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x\in\left\{3;1\right\}\end{cases}}\)
Vậy \(x\in\left\{-1,2,3\right\}\)
b) Ta có: \(4^{x+2}+4^{x+3}+4^{x+4}+4^{x+5}=85.\left(2^{2016}:2^{2012}\right)\)
\(\Leftrightarrow4^{x+2}\left(1+4+4^2+4^3\right)=85.2^4\)
\(\Leftrightarrow4^{x+2}.85=1360\)
\(\Leftrightarrow4^x=16\)
\(\Leftrightarrow4^x=4^2\)
\(\Leftrightarrow x=2\)
Vậy x=2
\(a,78-\left(x-3\right)=16\)
\(78-x+3=16\)
\(51-x=16\)
\(x=51-16=35\)
\(b,\left(2x+3\right):4=60\)
\(2x+3=60\cdot4=240\)
\(2x=240-3=237\)
\(x=\frac{237}{2}\)
\(c,\left(2x-8\right)=\left(2x-8\right)^7\)
\(\left(2x-8\right)-\left(2x-8\right)^7=0\)
Để mik nghĩ thêm tí r làm tiép
Để tui làm nốt ý C cho !!!
( 2x - 8 ) = ( 2x - 8 )7
=> ( 2x - 8 ) . 1 - ( 2x - 8 ) . ( 2x - 8 )6 = 0
=> ( 2x - 8 ) . [ 1 - ( 2x - 8 )6 ] = 0
=> 1 - ( 2x - 8 )6 = 0
=> ( 2x - 8 )6 = 1
=> ( 2x - 8 )6 = ( 16 )
\(\Rightarrow\orbr{\begin{cases}2x-8=1\\2x-8=-1\end{cases}\Rightarrow\orbr{\begin{cases}2x=9\\2x=7\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{9}{2}\\x=\frac{7}{2}\end{cases}}}\)
Vậy ........
a) \(\left|x-2\right|-27=-5\)
\(\left|x-2\right|=27-5\)
\(\left|x-2\right|=22\)
\(x=22+2\)
\(x=24\)
b) \(47-5\left(10-x\right)=12\)
\(47-50-5x=12\)
\(-3-5x=12\)
\(5x=-3-12\)
\(5x=-15\)
\(x=-3\)
c) \(\left|x-5\right|+\left(-10\right)^0=\left|-9\right|\)
\(\left|x-5\right|+1=9\)
\(\left|x-5\right|=9-1\)
\(\left|x-5\right|=8\)
\(x=8+5\)
\(x=13\)
d) \(3\left(x+1\right)-12=3\)
\(3x+3-12=3\)
\(3x=3+12-3\)
\(3x=12\)
\(x=4\)
a)
|x-27|=22
=>x-27=22;-22
*)x-27 = 22
=>x=49
*)x-27=-22
=>x=5
b,5(10-x)=35
10-x=7
x=3
\(a)3\left(x-1\right)^2=75\)
\(\Leftrightarrow\left(x-1\right)^2=25\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x-1\right)^2=\left(-5\right)^2\\\left(x-1\right)^2=5^2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=-5\\x-1=5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-4\\x=6\end{cases}}\)
\(b)170+\left(84-5x\right):2^2=186\)
\(\Leftrightarrow\frac{84-5x}{4}=16\)
\(\Leftrightarrow84-5x=64\)
\(\Leftrightarrow5x=20\)
\(\Leftrightarrow x=4\)
\(c)125-5\left(x+4\right)=38\)
\(\Leftrightarrow5\left(x+4\right)=87\)
\(\Leftrightarrow x+4=\frac{87}{5}\)
\(\Leftrightarrow x=\frac{87}{5}-4\)
\(\Leftrightarrow x=\frac{67}{5}\)
a) 22.14x . 72 = 14100
=> (2.7)2 . 14x = 14100
=> 14x = 14100 : 142
=> 14x = 1498
=> x = 98
b) 15.x + 3(x + 2) = 96
=> 15x + 3x + 6 = 96
=> 18x = 96 - 6
=> 18x = 90
=> x = 90 : 18 = 5
c) 2x + 4.2x = 5.25
=> 2x(1 + 4) = 5.25
=> 2x .5= 5.25
=> 2x = 5.25 : 5
=> 2x = 25
=> x = 5
\(a,2^2.14^x.7^2=14^{100}\)
\(\Rightarrow14^2.14^x=14^{100}\)
\(\Rightarrow14^x=14^{98}\)
\(\Rightarrow x=98\)
\(b,15.x+3\left(x+2\right)=96\)
\(\Rightarrow3\left(5x+x+2\right)=96\)
\(\Rightarrow6x+2=32\)
\(\Rightarrow6x=30\)
\(\Rightarrow x=5\)
\(c,2^x+4.2^x=5.2^5\)
\(\Rightarrow2^x\left(1+4\right)=5.2^5\)
\(\Rightarrow2^x.5=5.2^5\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
a) \(2^x.4=128\)
\(2^x=128:4\)
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
vay \(x=5\)
b) \(\left(2x+1\right)^3=125\)
\(\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2\)
vay \(x=2\)
(60 - 3) .x - 2 = 55
57.x = 55 + 2
57.x = 57
x = 57 : 57
x = 1
5.x2 = 125
x2 = 125 : 5
x2 = 25
x2 = 52
=> x = 5