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1) 125.(-24) + 24.225.
\(=24\left(-125+225\right)=24.100=2400.\)
2) 512.(2 – 128) – 128. (-512).
\(=512\left(2-128+128\right)=512.2=1024.\)
Bài 1 : Tính :
\(a,\text{ }-45+15-17\)
\(=-30-17\)
\(=-47\)
\(b,\text{ }-15\cdot4\text{ : }\left(-12\right)\)
\(=-60\cdot\frac{1}{-12}=5\)
\(c,\text{ }-13\cdot\left(-5\right)+\left(-16\right)\cdot5-\left(-38\right)\text{ : }2-\left(-5^2\right)\)
\(=13\cdot5-16\cdot5+19-25\)
\(=5\left(13-16\right)-6\)
\(=5\cdot\left(-3\right)-6\)
\(=-15-6\)
\(=-21\)
\(d,\text{ }-2020\cdot79+2020\cdot\left(-21\right)\)
\(=2020\left(-79-21\right)\)
\(=2020\cdot\left(-100\right)\)
\(=-202000\)
Bài 2 : Bài giải
\(a,\text{ }x+15=7\)
\(x=7-15\)
\(x=-8 \)
\(b,\text{ }17-2x=23\)
\(2x=17-23\)
\(2x=-6\)
\(x=-6\text{ : }2\)
\(x=-3\)
\(c,\text{ }\left(2x+17\right)^2=169\)
\(\left(2x+17\right)^2=\left(\pm13\right)^2\)
\(2x+17=\pm13\)
\(\Rightarrow\orbr{\begin{cases}2x+17=-13\\2x+17=13\end{cases}}\Rightarrow\orbr{\begin{cases}2x=-30\\2x=-4\end{cases}}\Rightarrow\orbr{\begin{cases}x=-15\\x=-2\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{-15\text{ ; }-2\right\}\)
- Bài 1 và bài 2 a,b dễ bạn tự làm nhé :>
Bài 2: c. ( 2x + 17)2 = 169 Ta có: 169 = 132 = (-13)2
TH1: ( 2x + 17 )2 = 132 => 2x + 17 = 13 => 2x = 13 - 17 = -4 => x = (-4) : 2 = -2
TH2: ( 2x + 17 )2 = (-13)2 => 2x + 17 = -13 => 2x = -13 - 17 = -30 => x = (-30) : 2 = -15
Bài 3: a. S = 2 - 5 + 8 - 11+ 14 - 17+......+ 2016 - 2019
=> S = (-3) + (-3) + (-3) + ... + (-3)
- Sau đó bạn nhân -3 với số cặp là ra nhé :)
b. x - 4 là bội của x + 7 => \(\frac{x-4}{x+7}\inℤ\Rightarrow\frac{x+7-11}{x+7}\inℤ\)
\(\Rightarrow\frac{x+7}{x+7}-\frac{11}{x+7}\inℤ\Rightarrow1-\frac{11}{x+7}\inℤ\)
Vì \(1\inℤ\Rightarrow\frac{11}{x+7}\in Z\Rightarrow x+7\inƯ\left(11\right)=\left\{\pm1,\pm11\right\}\)
Ta có bảng sau:
| x+7 | 1 | -1 | 11 | -11 |
| x | -6 | -8 | 4 | -18 |
Bài1 tính nhanh
1+4+7+....+79
70×939+61×135-61×65
Bài 2 tìm x
1005² × 1005*= 1005 ngũ7
12×4+225:(x-3)²=57
Bài 1 :
1 + 4 + 7 + .......... + 79
Số các số hạng của dãy số trên là : ( 79 - 1 ) : 3 + 1 = 27 ( số )
Tổng các số hạng là : ( 79 + 1 ) . 27 : 2 = 1080
70 . 939 + 61 . 135 - 61 . 65
= 70 . 939 + 61 . ( 135 - 65 )
= 70 .939 + 61 . 70
= 70 . ( 939 + 61 )
= 70 . 1000 = 70000
a) (2x - 3)(6 - 2x) = 0
=> \(\left[{}\begin{matrix}2x-3=0\\6-2x=0\end{matrix}\right.=>\left[{}\begin{matrix}2x=3\\2x=6\end{matrix}\right.=>\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=3\end{matrix}\right.\)
b) \(5\dfrac{4}{7}:x=13=>\dfrac{39}{7}:x=13=>x=\dfrac{39}{7}:13=>x=\dfrac{3}{7}\)
c) \(2x-\dfrac{3}{7}=6\dfrac{2}{7}=>2x-\dfrac{3}{7}=\dfrac{44}{7}=>2x=\dfrac{47}{7}=>x=\dfrac{47}{14}\)
d) \(\dfrac{x}{5}+\dfrac{1}{2}=\dfrac{6}{10}=>\dfrac{x}{5}=\dfrac{6}{10}-\dfrac{1}{2}=>\dfrac{x}{5}=\dfrac{1}{10}=>x.10=5=>x=\dfrac{1}{2}\)
e) \(\dfrac{x+3}{15}=\dfrac{1}{3}=>\left(x+3\right).3=15=>x+3=5=>x=2\)
a) \(x+5=20-\left(12-7\right)\)
\(\Rightarrow x+5=20-5\)
\(\Rightarrow x+5=15\)
\(\Rightarrow x=15-5\)
\(\Rightarrow x=10\)
b) \(15-\left(3+2x\right)=2^2\)
\(\Rightarrow3+2x=15-4\)
\(\Rightarrow3+2x=11\)
\(\Rightarrow2x=11-3\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=\dfrac{8}{2}\)
\(\Rightarrow x=4\)
c) \(-11-\left(19-x\right)=50\)
\(\Rightarrow19-x=-11-50\)
\(\Rightarrow19-x=-61\)
\(\Rightarrow x=61+19\)
\(\Rightarrow x=80\)
d) \(159-\left(25-x\right)=43\)
\(\Rightarrow25-x=159-43\)
\(\Rightarrow25-x=116\)
\(\Rightarrow x=25-116\)
\(\Rightarrow x=-91\)
e) \(\left(79-x\right)-43=-\left(17-52\right)\)
\(\Rightarrow\left(79-x\right)-43=52-17\)
\(\Rightarrow79-x-43=35\)
\(\Rightarrow36-x=35\)
\(\Rightarrow x=1\)
f) \(\left(7+x\right)-\left(21-13\right)=32\)
\(\Rightarrow7+x-8=32\)
\(\Rightarrow x-1=32\)
\(\Rightarrow x=32+1\)
\(\Rightarrow x=33\)
g) \(-x+20=-15+8+13\)
\(\Rightarrow-x+20=6\)
\(\Rightarrow x=20-6\)
\(\Rightarrow x=14\)
h) \(-\left(-x+13-142\right)+18=55\)
\(\Rightarrow x-13+142+18=55\)
\(\Rightarrow x+147=55\)
\(\Rightarrow x=55-147\)
\(\Rightarrow x=-92\)
2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
câu 1: 11
câu 2 : a/ 1 b/4 c/ -2
câu 3: a/ 4655482 b/ 790