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(-6)² : 4 . 3 + 2 . 5² - 2019⁰
= 36 : 4 . 3 + 2 . 25 - 1
= 9 . 3 + 50 - 1
= 27 + 49
= 76
a) (x+3)(x+5)=0
=>x+3=0 hoặc x+5=0
=>x=-3 hoặc -5
b) (x-1).5-1=0
=>5x-5-1=0
=>5x-6=0
=>5x=6
=>x=6/5
c)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2019.2020}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2019}-\frac{1}{2020}\)
\(A=1-\frac{1}{2020}\)
\(A=\frac{2019}{2020}\)
\(B=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{2017.2019}\)
\(2B=\frac{2}{1.3}+\frac{2}{3.5}=\frac{2}{5.7}+...+\frac{2}{2017.2019}\)
\(2B=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}=\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2017}-\frac{1}{2019}\)
\(2B=1-\frac{1}{2019}\)
\(2B=\frac{2018}{2019}\)
\(B=\frac{2018}{2019}:2=\frac{1009}{2019}\)
\(a,\frac{1}{3}x+\frac{2}{5}x-\frac{2}{5}=0\)
\(\frac{11}{15}x=\frac{2}{5}\)
\(x=\frac{6}{11}\)
b,\(\left(2x-3\right).\left(6-2x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-3=0\\6-2x=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{3}{2}\\x=3\end{cases}}\)
Vậy
1/ 45. 18 - 5. 9. 28
= 45. 18 - (5. 9) . 28
= 45.18 - 45 .28
= 45. ( 18 - 28)
= 45. ( -10)
= -450
2/ 54 - 6. (12 + 9)
= 54 - 6. 9 + 6. 12
= 54 - 54 + 6. 12
= 0 + 6. 12
= 72
+)Ta có:\(A=2019+2019^2+2019^3+2019^4+2019^5+2019^6\)
\(\Rightarrow A=\left(2019+2019^2\right)+\left(2019^3+2019^4\right)+\left(2019^5+2019^6\right)\)
\(\Rightarrow A=\left(2019+2019^2\right)+2019^2.\left(2019+2019^2\right)+2019^4.\left(2019+2019^2\right)\)
+)Ta lại có:20192 tận cùng là 1
=>2019+20192 tân cùng là 9+1=10
=>2019+20192\(⋮2\)
\(\Rightarrow\left(2019+2019^2\right)⋮2;2019^2.\left(2019+2019^2\right)⋮2;2019^4.\left(2019+2019^2\right)⋮2\)
\(\Rightarrow A⋮2\)
Vậy \(A⋮2\left(ĐPCM\right)\)
Chúc bn học tốt
A = 2019 + 20192 + 20193 + 20194 + 20195 + 20196
A = ( 2019 + 20192 ) + ( 20193 + 20194) + ( 20195 + 20196)
A = 1 . ( 2019 + 20192 ) + 20193 . (2019 + 20192 ) + 20195 . ( 2019 + 20192 )
A = 1 . 4 078 380 + 20193 . 4 078 380 + 20195 . 4 078 380
A = 4 078 380 . ( 1 + 20193 + 20195) \(⋮2\rightarrowĐPCM\)
# HOK TỐT #
Kksjdld
TL :
\(5.4^2+54:3^2-2019^0\)
\(=5.16+54:9-2019\)
= \(80+6-2019\)
= \(2019-86\)
\(=1933\)