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7x + 8x + 9x + 10x +.....+ 201x - 280 = 20000
=> (7+8+9+10+....+201)x = 20280
=> 20280x = 20280
=> x = 20280 : 20280
=> x = 1
a) ( 2x - 3 ) - ( x - 5 ) = ( x + 7 ) - ( x + 2 )
<=> 2x - 3 - x + 5 = x + 7 - x - 2
<=> x = 3
b)(7x-5)-(6x+4)=(2x+3)-(2x+1)
<=> 7x - 5 - 6x - 4 = 2x + 3 - 2x - 1
<=> x = 11
c)(9x-3)-(8x+5)=(3x+2)
<=> 9x - 3 - 8x - 5 = 3x + 2
<=> -2x = 10
<=> x = -5
d)(x+7)-(2x+3)=(3x+5)-(2x+4)
<=> x + 7 - 2x - 3 = 3x + 5 - 2x - 4
<=> -2x = -3
<=> x = 3/2
ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠᅠ ᅠ
\(x+4x+7x+...+100x=8585\)
\(\Leftrightarrow x\left(1+4+7+...+100\right)=8585\)
\(\Leftrightarrow\frac{\left(100+1\right)\left[\left(100-1\right)\div3+1\right]}{2}x=8585\)
\(\Leftrightarrow\frac{101.34}{2}x=8585\)
\(\Leftrightarrow101.17x=8585\)
\(\Leftrightarrow1717x=8585\)
\(\Leftrightarrow x=\frac{8585}{1717}\)
\(\Leftrightarrow x=5\)
Vậy x = 5
X*(1+2+3+4+5+6+7+8+9+10)=-165
X*55=-165
X=-165/55=-3
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
(1x + 9x) + (2x + 8x) + (3x + 7x) + (4x + 6x) + 5x + 10x = -165
10x^6 + 5x = -165
= 65x (-165)
= -100
x + 9x + 7x + 5x = 2244
<=> 1x + 9x + 7x + 5x = 2244
x ( 1 + 9 + 7 + 5 ) = 2244
22x = 2244
x = 2244 : 22
x = 1122
x + 9x + 7x + 5x = 2244
<=> 22x = 2244
<=> x = 2244 : 22
=> x = 102
a)\(3^{x-2}+3^x=810\)
\(\Leftrightarrow3^x\left(3^{-2}+1\right)=810\)
\(\Leftrightarrow3^x\cdot\frac{10}{9}=810\)
\(\Leftrightarrow3^x=729\)
\(\Leftrightarrow3^x=3^6\)
\(\Leftrightarrow x=6\)
b)402240223.(x2-1)=804480443
\(\Leftrightarrow x^2-1=80448044^3:40224022^3\)
\(\Leftrightarrow x^2-1=\left(\frac{80448044}{40224022}\right)^3\)
\(\Leftrightarrow x^2-1=2^3\)
\(\Leftrightarrow x^2=9\)
\(\Leftrightarrow x=\pm3\)
=> 2 + 3 + 5 + 7+ ... +99 + 49X = 2 + 2499 + 49X
= 2501 + 49 X = 7500
=> 49X = 7500 - 2501 = 4999
=>X = 4999 : X = \(\frac{4999}{49}\)
7x+8x+9x+....+100x=1025
=>x(7+8+9+....+100)=1025
Số số hạng:(100-7)+1=94(số)
Tổng:(100+7)x94:2=5029
=>x.5029=1025
x=1025:5029