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\(\frac{x+110}{100}+\frac{x+8}{102}+\frac{x+6}{104}=\frac{x+4}{106}+\frac{x+2}{108}\)
\(\Leftrightarrow\frac{x+110}{100}+\left(\frac{x+8}{102}+1\right)+\left(\frac{x+6}{104}+1\right)=\left(\frac{x+4}{106}+1\right)+\left(\frac{x+2}{108}+1\right)\)
\(\Leftrightarrow\frac{x+110}{100}+\frac{x+110}{102}+\frac{x+110}{104}=\frac{x+110}{106}+\frac{x+110}{108}\)
\(\Leftrightarrow\frac{x+110}{100}+\frac{x+110}{102}+\frac{x+110}{104}-\frac{x+110}{106}-\frac{x+110}{108}=0\)
\(\Leftrightarrow\left(x+110\right)\left(\frac{1}{100}+\frac{1}{102}+\frac{1}{104}+\frac{1}{106}+\frac{1}{108}\right)=0\)
\(\Leftrightarrow x+110=0\) (vì \(\frac{1}{100}+\frac{1}{102}+\frac{1}{104}-\frac{1}{106}-\frac{1}{108}>0\))
\(\Leftrightarrow x=-110\)
Vậy \(x=-110\)
\(a,347\cdot2^2-2^2\cdot\left(216+184\right):8\)
\(< =>1388-4\cdot400:8\)
\(< =>1388-1600:8\)
\(< =>1388-200\)
\(< =>1188\)
\(b,132-\left[116-\left(132-128\right)^2\right]\)
\(< =>132-\left[116-\left(4^2\right)\right]\)
\(< =>132-100\)
\(< =>32\)
\(c,\left[184:\left(96-124:31\right)-2\right]\cdot3651\)
\(< =>\left[184:\left(96-4\right)-2\right]\cdot3651\)
\(< =>\left[184:92-2\right]\cdot3651\)
\(< =>\left[2-2\right]\cdot3651\)
\(< =>0\cdot3651\)
\(< =>0\)
\(e,\left(2+4+6+8+...+2020\right)\cdot\left(36\cdot333-108\cdot111\right)\)
\(< =>\left[\left(2020-2\right):2+1\right]\cdot\left(36\cdot333-108\cdot111\right)\)
\(< =>1010\cdot\left(11988-11988\right)\)
\(< =>1010\cdot0\)
\(< =>0\)
\(g,1024:2^4+140:\left(38+2^5\right)-7^{23}:7^{21}\)
\(< =>64+140:70-49\)
\(< =>64+2-49\)
\(< =>66-49\)
\(< =>17\)
\(h,\left(44\cdot52\cdot60\right):\left(11\cdot13\cdot15\right)\)
\(< =>137280:2145\)
\(< =>64\)
\(j,\left(2^{17}+15^4\right)\cdot\left(3^{19}-2^{17}\right)\cdot\left(2^4-4^2\right)\)
\(< =>\left(131072+50625\right)\cdot\left(1162261467-131072\right)\cdot\left(16-16\right)\)
\(< =>181697\cdot1162130395\cdot0\)
\(< =>0\)
mk chuc ban hoc tot nhe :))
a: \(=347\cdot4\cdot9\cdot400:8=347\cdot36\cdot50=624600\)
c: \(=16:\left\{400:\left[200-37-138\right]\right\}\)
\(=16:\left\{400:25\right\}=16:16=1\)
e: \(=46-\left[300:15\right]-2=46-20-2=24\)
105 105 105 105 105 105 105 105 110 110 110 110
115 115 115 115 115 115 120 120 120 120 120 120
125 125 125 125 130 130
Ko kẻ bảng đc! Sorry nha!
Chúc bạn học tốt!
a) P(x) = x2 + x4 + x6 + x8 + ... + x100
P(-1) = (-1)2 + (-1)4 + (-1)6 + (-1)8 + ... + (-1)100
P(-1) = 1 + 1 + 1 + 1 + ... + 1
P(-1) = 1 . 50
P(-1) = 50
b) Q(x) = x + x3 + x5 + x7 + ... + x111
Q(-1) = (-1) + (-1)3 + (-1)5 + (-1)7 + ... + (-1)111
Q(-1) = (-1) + (-1) + (-1) + (-1) + ... + (-1)
Q(-1) = (-1) . 56
Q(-1) = -56
(1.6.12.20.....110)/(1.1.2.2.3.3.....10.10)=-20/x
(1.2.3.3.4.4.5.....10.11)/(1.1.2.2.3.3...10.10)=-20/x
11/2=-20/x
hay -20/x=11/2
x=-40/11
110 | 120 | 125 | 110 | 115 | 120 |
115 | 110 | 120 | 115 | 120 | 125 |
125 | 115 | 120 | 120 | 125 | 125 |
125 | 125 | 110 | 120 | 120 | 115 |
130 | 115 | 115 | 125 | 130 | 120 |
Xét vế đầu tiên :
Số số hạng là : ( 110 - 2 ) : 2 + 1 = 55 ( số )
Tổng là : ( 110 + 2 ) . 55 : 2 = 3080
Xét vế sau : ( 36 . 33 - 108 . 111 ) = 1188 - 11988 = -10800
=> 3080 . ( -10800 ) = -33264000
Vậy,.........