Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(5A=5\left(5^3+5^5+.......+5^{47}+5^{49}\right)\)
\(5A=5^5+......+5^{49}+5^{51}\)
\(5A=5^{51}-2\)
\(A=5^{51}-2\div5\)
Ta có : B = 550 - 549 + 548 - 547 + .... + 52 - 5 + 1
=> 5B = 551 - 550 + 549 - 548 + ... + 53 - 52 + 5
Khi đó 5B + B = (551 - 550 + 549 - 548 + ... + 53 - 52 + 5) + (550 - 549 + 548 - 547 + .... + 52 - 5 + 1)
=> 6B = 551 + 1
=> B = \(\frac{5^{51}+1}{6}\)
Vậy \(B=\frac{5^{51}+1}{6}\)
<=> 5B = 551 - 550 + 549 - ...... - 52 + 5
<=> 5B + B = 551 - 550 + 550 - 549 + 549 - ... + 5 - 5 + 1
<=> 6B = 551 + 1
<=> B = (551 + 1)/6
sau 58 ,7,50 ,2,-60 là phép tính khác .
mấy b giúp mk nha ?
Đặt \(A=5+5^3+5^5+....+5^{47}+5^{49}\)
\(\Rightarrow5^2A=5^3+5^5+5^7+.....+5^{49}+5^{51}\)
\(\Rightarrow5^2A-A=\left(5^3+5^5+5^7+....+5^{49}+5^{51}\right)-\left(3+3^3+3^5+....+5^{47}+5^{49}\right)\)
\(\Rightarrow24A=5^{51}-5\)
\(\Rightarrow A=\dfrac{5^{51}-5}{24}\)
Vậy ............................................................
1)a) \(\left(3x-7\right)^5=32\Rightarrow\left(3x-7\right)^5=2^5\)
\(\Rightarrow3x-7=2\Rightarrow3x=9\Rightarrow x=3\)
Vậy \(x=3\)
b) \(\left(4x-1\right)^3=-27.125\)
\(\Rightarrow\left(4x-1\right)^3=-3^3.5^3=-15^3\)
\(\Rightarrow4x-1=-15\Rightarrow4x=-14\Rightarrow x=-3,5\)
Vậy \(x=-3,5\)
c) \(3^{4x+4}=81^{x+3}\Rightarrow3^{4x+4}=3^{4x+12}\)
\(\Rightarrow4x+4=4x+12\)
\(\Rightarrow4x=4x+8\)
\(\Rightarrow x\in\varnothing\)
d) \(\left(x-5\right)^7=\left(x-5\right)^9\)
\(\Rightarrow\left(x-5\right)^7-\left(x-5\right)^9=0\)
\(\Rightarrow\left(x-5\right)^7.\left[1-\left(x-5\right)^2\right]=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(x-5\right)^7=0\\1-\left(x-5\right)^2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\\left(x-5\right)^2=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x-5=-1\\x-5=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=4\\x=6\end{matrix}\right.\)
Vậy \(\left[{}\begin{matrix}x=5\\x=4\\x=6\end{matrix}\right.\)
g ) 29 - \([16+3.\left(51-49\right)]\)
= 29 - \([\begin{matrix}16&+&3&.&2\end{matrix}]\)
= 29 - \([16\begin{matrix}+&6\end{matrix}]\)
= 29 -22
= 7
h ) 47 - ( 45 . 24 - 52 . 12 ) : 14
= 47 - ( 45 . 16 - 25 . 12 ) : 14
= 47 - ( 720 - 300 ) : 14
= 47 - 420 : 14
= 47 - 30
= 17
i ) 102 - 60 : ( 56 : 54 - 3 . 5 )
= 100 - 60 : ( 52 - 3 . 5 )
= 100 - 60 : ( 25 - 15 )
= 100 - 60 : 10
= 100 - 6
= 94
a, 53 * 39 + 47 * 59 - 53 * 21 - 47 * 21 c, (43 * 52 - 43 ) : ( 4 * 42 )
= ( 53 + 47 ) * 39 - ( 53 + 47 ) * 21 = ( 64 * 25 - 64 ) : ( 4 * 16 )
= 100 * 39 - 100 * 21 = ( 1600 - 64 ) : 64
= ( 39 - 21 ) * 100 = 1536 : 64
= 18 * 100 = 24
= 1800
Đặt A = 5 + 53 + 55 + ... + 547 + 549
52.A = 53 + 55 + 57 + ... + 549 + 551
52.A - A = (53 + 55 + 57 + ... + 549 + 551) - (5 + 53 + 55 + ... + 547 + 549)
25.A - A = 551 - 5
24.A = 551 - 5
A = 551 - 5/24
Ủng hộ mk nha ^_-