17+(-20)+(23+9-26)+...+53+(-56).Tính bằng cách thuận tiện giúp tôi nốt với
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\(\text{(−1)+(−3)+...+(−199)+(−201)(−1)+(−3)+...+(−199)+(−201)}\)
=\(\text{−(1+3+...+199+201)=−(1+3+...+199+201)}\)
=\(\dfrac{\left(201+1\right).\left[\left(201-1\right)\right]:2+1}{2}\)
= \(\dfrac{-200.102}{2}=\dfrac{-20400}{2}=-10200\)
\(\text{17 + ( − 20 ) + 23 + ( − 26 ) + . . . + 53 + ( − 56 ) = [ 17 + ( − 20 ) ] + [ 23 + ( − 26 ) ] + . . . + [ 53 + ( − 56 ) ] = ( − 3 ) + ( − 3 ) + . . . + ( − 3 ) = ( − 3 ) . ( 7 ) = − 21}\)
\(\text{=17 + ( − 20 ) + 23 + ( − 26 ) + . . . + 53 + ( − 56 ) = [ 17 + ( − 20 ) ] + [ 23 + ( − 26 ) ] + . . . + [ 53 + ( − 56 ) ] = ( − 3 ) + ( − 3 ) + . . . + ( − 3 ) = ( − 3 ) . ( 7 ) = − 21}\)
\(\text{ = ( − 3 ) + ( − 3 ) + . . . + ( − 3 )}\)
\(\text{= ( − 3 ) . ( 7 ) = − 21}\)
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\(a,\left(x+3\right)\left(5-x\right)=0\\ \Rightarrow\left\{{}\begin{matrix}x+3=0\\5-x=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-3\\x=5\end{matrix}\right.\)
\(c,x+17⋮x+3\\ x+3+14⋮x+3\\ 14⋮x+3\\ x+3\inƯ\left(14\right)=\left\{\pm14;\pm7\pm2;\pm1\right\}\)
Từ đó bạn tìm những giá trị của x nha!
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a. 19 + 18 + 17 + 16 + 14 + 21 + 22 + 23 + 24 + 26
= (19 + 21) + (18 + 22) + (17 + 23) + (16 + 24) + (14 + 26)
= 40 + 40 + 40 + 40 + 40
= 40 x 5
= 200
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a) 23x51+75x23-23x25=23x(51+75-26)=23x100=2300
b) 1+2+3+...+20=\(\dfrac{\left(20+1\right)\text{x}20}{2}\)=210
a) \(23\times51+75\times23-23\times26\)
\(=23\times\left(51+75-26\right)\)
\(=23\times\left(126-26\right)\)
\(=23\times100\)
\(=2300\)
b) \(1+2+...+20\)
\(=\left(20+1\right)+\left(19+2\right)+\left(18+3\right)+\left(17+4\right)+...+\left(11+10\right)\)
\(=21+21+21+...+21\) (10 số 21)
\(=2100\)
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a) 12 + 23 + 34 + 45 + 56 + 67 + 78 + 89
= ( 12 + 78 ) + ( 23 + 67 ) + ( 34 + 56 ) + ( 45 + 89 )
= 90 + 90 + 90 + 132
= 90 x 3 + 132
= 270 + 132
= 402
b) 125 x 6 x 7 x 8
= 750 x 7 x 8
= 5250 x 8
= 42000
c) ( 56 x 78 + 56 x 47 ) : 7
= 56 x ( 78 + 47 ) : 7
= 56 x 125 : 7
= 7000 : 7
= 1000
a) 12 + 23 + 34 + 45 + 56 + 67 + 78 + 89
= ( 12 + 78 ) + ( 23 + 67 ) + ( 34 + 56 ) + ( 45 + 89 )
= 90 + 90 + 90 + 132
= 90 x 3 + 132
= 270 + 132
= 402
b) 125 x 6 x 7 x 8
= 750 x 7 x 8
= 5250 x 8
= 42000
c) ( 56 x 78 + 56 x 47 ) : 7
= 56 x ( 78 + 47 ) : 7
= 56 x 125 : 7
= 7000 : 7
= 1000
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