2 | + | 2 | + … + | 2 | = | |
1 x 3 | 3 x 5 | 113 x 115 |
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a) x-73=(57-x)-467
<=>x+x=57+73-467
<=>2x=-337
<=>x=-337/2
vậy ....
b) -(x - 3 - 84) = 70 - (-27) - 115
<=> -x + 3 + 84 = 70 +27 - 115
<=>-x=-105
<=>x=105
vậy ...
c) 231 - x + 62 = 46 + (x - 21)
<=> - x = 46 + x - 21-231-62
<=>-2x=-268
<=> x=134
vậy ...
d) -18 + x = -63 - (-33)
<=>x=-63+33+18
<=>x=-12
vậy ...
e) (x - 153) - (48 - 193) = 1 - 2 - 3 - 4
<=>x - 153 - 48 +193 = 1 - 2 - 3 - 4
<=> x= 0
vậy ...
a) 5x - 14 = x - 34
5x - x = -34 + 14
4x = -20
x = -20 : 4
x = -5
b) x - 3 - (3x + 2) = -15
x - 3 - 3x - 2 = -15
x - 3x = -15 + 3 + 2
-2x = -10
x = (-10) : (-2)
x = 5
c) 2(x - 12) + 19 = x + (-34)
2x - 24 + 19 = x + (-34)
2x - x = -34 + 24 - 19
x = -29
d) 2(x - 33) - 3(x - 43) = 96 - 115
2x - 66 - 3x + 129 = 96 - 115
2x - 3x = 96 - 115 + 66 - 129
-x = -82
x = 82
e) 2x + 3 - 9x = -11
2x - 9x = -11 - 3
-7x = -14
x = (-14) : (-7)
x = 2
f) -(x + 3 - 84) = (x + 70 - 71) - 6
-x - 3 + 84 = x + 70 - 71 - 6
-x - x = 70 - 71 - 6 - 84
-2x = -91
x = (-91) : (-2)
x = 45,5
(617/191+29/33-115/117)*(1/4-1/5-1/20)
= (617/191+29/33-115/117)*(5/20-4/20-1/20)
=(617/191+29/33-115/117)*0
=0
Bài 1 : \(60-15=45\)
\(-60-40=-100\)
\(-115-\left(-15\right)=-115+15=-100\)
\(0-\left(-17\right)=0+17=17\)
\(0-344=-344\)
\(-115-\left(-415\right)=-115+415=300\)
\(6-2016=-2010\)
\(288-688=-400\)
\(911-\left(-89\right)=911+89=1000\)
\(\left(-442\right)-352+4321=3527\)
Bài 2 :
\(a,x+99=10\)
\(x=10-99\)
\(x=-89\)
\(b,33-x=42\)
\(x=33-42\)
\(x=-9\)
\(c,9-x-5=-44\)
\(4-x=-44\)
\(x=4+44\)
\(x=48\)
\(d,-2x+8=-66\)
\(-2x=-66-8\)
\(-2x=-74\)
\(x=37\)
\(1+\frac{1}{2}.\left(1+2\right)+\frac{1}{3}.\left(1+2+3\right)+...+\frac{1}{x}.\left(1+2+3+...+x\right)=115\)
\(\Rightarrow1.\left(\frac{1.2}{2}\right)+\frac{1}{2}.\left(\frac{2.3}{2}\right)+\frac{1}{3}.\left(\frac{3.4}{2}\right)+....+\frac{1}{x}.\left[\frac{x\left(x+1\right)}{2}\right]=115\)
\(\Rightarrow\frac{2}{2}+\frac{3}{2}+\frac{4}{2}+....+\frac{x+1}{2}=115\Rightarrow2+3+...+\left(x+1\right)=230\)
\(\frac{\Rightarrow\left[\frac{\left(x+1-2\right)}{1}+1\right].\left(x+1+2\right)}{2}=\frac{x.\left(x+3\right)}{2}=230\Rightarrow x.\left(x+3\right)=460\)
vì x và x+3 là 2 số tự nhiên cách nhau 3 đơn vị => \(x.\left(x+3\right)=460=20.23\Rightarrow x=20\)
Vậy x=20
a) 1 267 + 99 + 501 = 1 267 + (99 + 501)
= 1 267 + 600 = 1 867
25 x 14 x 4 = (25 x 4) x 14
= 100 x 14 = 1 400
b) 3 905 x (50 – 1) = 3 905 x 50 – 3 905 x 1
= 195 250 – 3 905 = 191 345
270 : ( 27 x 2 ) = 270 : 27 : 2
= 10 : 2 = 5
c) 115 x 58 + 115 x 42 = 115 x (58 + 42)
= 115 x 100 = 11 500
136 x 67 – 136 x 66 = 136 x (67 – 66)
= 136 x 1 = 136
5x + 1 + 2 + 3 + 4 + 5 = 115
5x + 15 = 115
x = 115 : 15
x = bạn tư tính
\(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{113.115}=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{113}-\frac{1}{115}\)
\(=1-\frac{1}{115}=\frac{114}{115}\)