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-(-2010) +36.41 - 36. (-59) + (-2010)
= 2010 + 1476 -2124 -2010
= (2010-2010) + (1476-2124)
= -648
-75.(18-65)-65.(75-18)
= -75. (-47) - 65. 57
= 3525 - 3705
= -180
\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+.....+\frac{1}{59\cdot60}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+.....+\frac{1}{59}-\frac{1}{60}\)
\(=1-\frac{1}{60}\)
\(=\frac{59}{60}\)
\(B=\left(1-\frac{1}{2010}\right)x\left(1-\frac{2}{2010}\right)x\left(1-\frac{3}{2010}\right)x...x\left(1-\frac{2011}{2010}\right)\)
\(B=\left(1-\frac{1}{2010}\right)x\left(1-\frac{2}{2010}\right)x\left(1-\frac{3}{2010}\right)x....x\left(1-\frac{2010}{2010}\right)x\left(1-\frac{2011}{2010}\right)\)
\(B=\left(1-\frac{1}{2010}\right)x\left(1-\frac{2}{2010}\right)x\left(1-\frac{3}{2010}\right)x...x\left(0\right)x\left(1-\frac{2011}{2010}\right)\)
\(B=0\)
A=\(\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right)...\left(1-\frac{2010}{2010}\right)\left(1-\frac{2011}{2010}\right)\)
A=\(\frac{2009}{2010}.\frac{2008}{2010}...0.\frac{-1}{2010}\)
A=0
( 1 + x ) + ( 3 + x ) + ( 5 + x ) + ... + ( 59 + x ) = 2010
( 1 + 3 + 5 + ... + 59 ) + ( x + x + x + ... + x ) = 2010
30x = 2010 - 900
30x = 1110
x = 1110 : 30
x = 37
<=>25x+1+3+5+7+...+59=2010
<=>25x+625 =2010
<=>25x =2010-625
<=>25x =1385
<=>x =1385:25
<=>x =55,4
Vậy x=55,4