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22x-1 + 6 . 28 = 14.28
=> 22x-1 + 6 . 28 = 7.2.28
=> 22x-1 + 6 . 28 = 7 . 29
=> 22x-1 + 6 = 7 . 29 : 28
=> 22x-1 + 6 = 7 . 2
=> 22x-1 + 6 = 14
=> 22x-1 = 8
=> 22x-1 = 23
=> 2x - 1 = 3
=> 2x = 4
=> x = 2
a) \(\left(17x-25\right):8+65=9^2\)
\(\left(17x-25\right).\frac{1}{8}+65=81\)
\(\frac{17}{8}x-\frac{25}{8}=81-65\)
\(\frac{17}{8}x-\frac{25}{8}=16\)
\(\frac{17}{8}x=16+\frac{25}{8}\)
\(\frac{17}{8}x=\frac{128}{8}+\frac{25}{8}\)
\(\frac{17}{8}x=\frac{153}{8}\)
\(x=\frac{153}{8}:\frac{17}{8}\)
\(x=\frac{153}{8}.\frac{8}{17}\)
\(x=\frac{153}{17}\)
\(x=9\)
vay \(x=9\)
b) \(80-\left(4.5^2-3.2^3\right)=2^{10}-\left(x-4\right)\)
\(80-\left(100-24\right)=1024-x+4\)
\(80-76=1028-x\)
\(x=1028-80+76\)
\(x=1024\)
vay \(x=1024\)
\(A=1+3+3^2+3^3+...+3^{1999}+3^{2000}\)
\(A=3^0+3^1+3^2+3^3+...+3^{1999}+3^{2000}\)
Xét dãy số : 0 ; 1 ; 2 ; 3 ; ... ; 1999 ; 2000
Số số hạng của dãy số trên là :
( 2000 - 0 ) : 1 + 1 = 2001 ( số )
\(A=\left(1+3+3^2\right)+\left(3^3+3^4+3^5\right)+...+\left(3^{1998}+3^{1999}+3^{2000}\right)\) ( 667 cặp số )
\(A=\left(1+3+3^2\right)+3^3.\left(1+3+3^2\right)+...+3^{1998}.\left(1+3+3^2\right)\)
\(A=1.13+3^3.13+...+3^{1998}.13\)
\(A=\left(1+3^3+...+3^{1998}\right).13\)
=> A chia hết cho 13
a)2^3.17-14+2^3.3^2
=8.17-14+8.9
=136-14+72
=194
b)102-272+|-15|-23
=-170+15-23
=-178
c)95:93 -32.3
=92-3
=78
a) 23 . 17 - 14 + 23 . 32
= 23 . ( 17 + 32 ) - 14
= 8 . ( 17 + 9 ) - 14
= 8 . 26 - 14
= 208 - 14
= 194
b) 102 - 272 + |-15| + (-23)
= 102 - 272 + 15 - 23
= - 170 + 15 - 23
= - 155 - 23
= - 178
c) 95 : 93 - 32 . 3
= 92 - 33
= 81 - 27
= 54
a) x3 = 8
=> x3 = 23
=> x = 2
Vậy x = 2
b) 3x = 81
=> 3x = 34
=> x = 4
Vậy x = 4
c) x3 = x
=> x3 - x = 0
=> x.(x2 - 1) = 0
=> x.(x - 1).(x + 1) = 0
=> \(\left[\begin{array}{nghiempt}x=0\\x-1=0\\x+1=0\end{array}\right.\) => \(\left[\begin{array}{nghiempt}x=0\\x=1\\x=-1\end{array}\right.\)
Vậy \(x\in\left\{0;1;-1\right\}\)
d) 2x2 = 6x
=> 2x2 - 6x = 0
=> 2x.(x - 3) = 0
=> x.(x - 3) = 0
=> \(\left[\begin{array}{nghiempt}x=0\\x-3=0\end{array}\right.\)=> \(\left[\begin{array}{nghiempt}x=0\\x=3\end{array}\right.\)
Vậy \(x\in\left\{0;3\right\}\)
\(-x+2^3=2^2\cdot3\Leftrightarrow-x+8=12\)
\(\Rightarrow-x=12-8\Leftrightarrow-x=-4\)
\(-x+2^3=2^2.3\)
\(=-x+8=4.3\)
\(=-x+8=12\)
\(=-x=12-8\)
\(-x=-4\)
\(\Rightarrow x=4\)