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Bài 3:
\(a,\dfrac{x-1}{10}+\dfrac{x-1}{11}=\dfrac{x-1}{12}+\dfrac{x-1}{13}\)
\(\Rightarrow\dfrac{x-1}{10}+\dfrac{x-1}{11}-\dfrac{x-1}{12}-\dfrac{x-1}{13}=0\)
\(\Rightarrow\left(x-1\right)\left(\dfrac{1}{10}+\dfrac{1}{11}-\dfrac{1}{12}-\dfrac{1}{13}\right)=0\)
Mà \(\dfrac{1}{10}+\dfrac{1}{11}-\dfrac{1}{12}-\dfrac{1}{13}\ne0\)
\(\Rightarrow x-1=0\Rightarrow x=1\)
Vậy x = 1
b, \(\dfrac{x-2000}{10}+\dfrac{x-1999}{9}=\dfrac{x-1998}{8}+\dfrac{x-1997}{7}\)
\(\Rightarrow\dfrac{x-2000}{10}+1+\dfrac{x-1999}{9}+1=\dfrac{x-1998}{8}+\dfrac{x-1997}{7}+1\)
\(\Rightarrow\dfrac{x-1990}{10}+\dfrac{x-1990}{9}-\dfrac{x-1990}{8}-\dfrac{x-1990}{7}=0\)
\(\Rightarrow\left(x-1990\right)\left(\dfrac{1}{10}+\dfrac{1}{9}-\dfrac{1}{8}-\dfrac{1}{7}\right)=0\)
Mà \(\dfrac{1}{10}+\dfrac{1}{9}-\dfrac{1}{8}-\dfrac{1}{7}\ne0\)
\(\Rightarrow x-1990=0\Rightarrow x=1990\)
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x*2000-x=1999-1997
x*2000-x*1=2
x*(2000-1)=2
x*1999=2
x =2:1999
x =2/1999
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19991999 . 1998 - 19981998.1999
= 1999 . 1001 . 1998 - 1998 . 1001 . 1999
= 0
tick nhé bạn
19991999 . 1998 - 19981998.1999
= 1999 . 1001 . 1998 - 1998 . 1001 . 1999
= 0
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\(\left(1999.1998+1998+1997\right).\left(1+\frac{1}{2}:1\frac{1}{2}-1\frac{1}{3}\right)\)
\(=\left(1999.1998+1998+1997\right).\left(1+\frac{1}{2}:\frac{3}{2}-\frac{4}{3}\right)\)
\(=\left(1999.1998+1998+1997\right).\left(1+\frac{1}{3}-\frac{4}{3}\right)\)
\(=\left(1999.1998+1998+1997\right).\left(\frac{4}{3}-\frac{4}{3}\right)\)
\(=\left(1999.1998+1998+1997\right).0=0.\)
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= ( 1999 . 1998 + 1998 + 1997 ) .\(\left(1\frac{1}{2}:1\frac{1}{2}-1\frac{1}{3}\right)\)
= 3997997 .\(-\frac{1}{3}\)
=\(-\frac{3997997}{3}\)
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1) A=4+2+22+...+220
2A= 8+22+23+...+221
2A-A=(8+22+23+...+221) - (4+2+22+...+220)
A= 8+221-4-2
A= 221+2. K biến đổi thêm đc, u chép sai đề nhé! nếu bỏ số 2 đi thì lam ngon
1) Ta có: B= 4+2+22+23+24+...........+220 (1)
C=4
=> A= B+C
Phân tích B ta lại có:
2B=22+23+24+25+..........+220 (2)
Lấy (2)-(1) ta có:
2B-B=(22+23+24+.........+221)-(2+22+23+..........+220)
=> B=221-2
=> A= 221-2+4
=> A=221+2
( nÊN xem lại đề bạn ạ nên thay chữ số 4=2)
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1) A = 19971999 - 19971998
=> A = 19971998.(1997-1)
=> A = 19971998 . 1996
Vậy a chia hết cho 4 (vì 1996 chia hết cho 4)
2) B = 19971998 - 19981999
Mà 19971998 là số lẻ; 19981999
=> 19971998 - 19981999 là số lẻ
Vậy đề bài sai.