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Câu 1:
a) \(\left(\dfrac{4}{8}+\dfrac{1}{2}\right):\left(\dfrac{3}{5}-\dfrac{8}{7}\right)\)
\(=\left(\dfrac{1}{2}+\dfrac{1}{2}\right):\left(\dfrac{21}{35}-\dfrac{40}{35}\right)\)
\(=1:\dfrac{-19}{35}\)
\(=\dfrac{35}{-19}\)
b) \(-1\dfrac{3}{5}+0,34-50\%\)
\(=-\dfrac{8}{5}+\dfrac{34}{100}-\dfrac{50}{100}\)
\(=-\dfrac{160}{100}+\dfrac{34}{100}-\dfrac{50}{100}\)
\(=-\dfrac{44}{25}\)
Câu 2:
A = 357 - 62 - (-62 - 643)
A = 357 - 62 + 62 + 643
A = (357 + 643) - (62 - 62)
A = 1000 - 0
A = 1000
Câu 3:
\(\left(\dfrac{x}{5}-1\right):\left(-5\right)=\dfrac{1}{10}\)
\(\dfrac{x}{5}-1=\dfrac{1}{10}.\left(-5\right)\)
\(\dfrac{x}{5}-1=\dfrac{-1}{2}\)
\(\dfrac{x}{5}=\dfrac{-1}{2}+1\)
\(\dfrac{x}{5}=\dfrac{1}{2}\Rightarrow x=\dfrac{1.5}{2}=2,5\)
\(A=\frac{99.100.101}{3}=333300\)
\(B=\frac{2015.2016.2017.2018}{4}-\frac{6.7.8.9}{4}=4133639960604\)
\(C=\frac{3^{51}-1}{3}+1\)
3A= 1.2.3+2.3.(4-1)+3.4.(5-2)+4.5.(6-3)+...+99.100.(101-98)
3A= 1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+4.5.6-3.4.5+...+99.100.101-98.99.100
3a= 99.100.101
1/ 10(X-7)-8(X+5)=6(-5)+24
10x - 70 - 8x - 40 = -30 +24
2x - 110 = -6
2x = 104
x=52
2/ 8(X-|-7|)-6(X-2)=|-8|.6-50
8(x - 7) - 6(x-2) = 8.6 - 50
8x - 56 - 6x +12 =48 -50
2x - 44 = -2
2x = 42
x=21
3/ 2(4X-8)-7(3+X)=|-4|(3-2)
8x-16 - 21 - 7x = 4.1
x-37=4
x=41
4/ 12(X-4)=6(x-2)-16(X+3)=7|-4|
12x - 48 = 6x - 12 - 16x -48 =7.4
12x - 48 = 28
12x=76
x=19/3
5/ 4(X-5)-7(5-X)+10(5-X)=-3
4x - 20 -35 +7x + 50 -10x = -3
x - 5 = -3
x = -2
Chúc bạn học tốt!
1) |x + 2| = 4
\(\Leftrightarrow\orbr{\begin{cases}x+2=4\\x+2=-4\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=2\\x=-6\end{cases}}\)
2) 3 – |2x + 1| = (-5)
\(\Leftrightarrow\left|2x+1\right|=8\Leftrightarrow\orbr{\begin{cases}2x+1=8\\2x+1=-8\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{7}{2}\\x=\frac{-9}{2}\end{cases}}\)
3) 12 + |3 – x| = 9
\(\Leftrightarrow\left|3-x\right|=-3\)(vô lí)
=>\(x=\varnothing\)
1) I x+2 I=4
\(\Rightarrow\orbr{\begin{cases}x+2=4\\x+2=-4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-6\end{cases}}}\)
2) \(3-|2x+1|=-5\)
\(\Leftrightarrow|2x+1|=8\)
\(\Leftrightarrow\orbr{\begin{cases}2x+1=8\\2x+1=-8\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=7\\2x=-9\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{7}{2}\\x=\frac{-9}{2}\end{cases}}}\)
3) \(12+|3-x|=9\)
\(\Leftrightarrow|3-x|=-3\)(vô lí vì I 3-x I \(\ge\)0)
=(1/2+1/2):8
=1:8
=1/8
-1/3/5 + 0,34 - 50%
=-5/3+17/50 - 1/2
=-137/75
=(1/2+1/2):8
=1:8
=1/8
-1/3/5 + 0,34 - 50%
=-5/3+17/50 - 1/2
=-137/75