(1+1/2002+1/2004+1/2006)X(1/2002+1/2004+1/2006+1/2008)X(1/20
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(1+1/2002+1/2004+1/2006)X(1/2002+1/2004+1/2006+1/2008)X(1/2002+1/2004+1/2006)
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最后一个式子缺失1/2008
设1/2002+1/2004+1/2006=x
1/2002+1/2004+1/2006+1/2008=y
(1+1/2002+1/2004+1/2006)*(1/2002+1/2004+1/2006+1/2008)-(1+1/2002+1/2004+1/2006+1/2008)* (1/2002+1/2004+1/2006)
=(1+x)y-(1+y)x
=y+xy-x-xy
=y-x
=1/2008
设1/2002+1/2004+1/2006=x
1/2002+1/2004+1/2006+1/2008=y
(1+1/2002+1/2004+1/2006)*(1/2002+1/2004+1/2006+1/2008)-(1+1/2002+1/2004+1/2006+1/2008)* (1/2002+1/2004+1/2006)
=(1+x)y-(1+y)x
=y+xy-x-xy
=y-x
=1/2008
x^4+x^3+x^2+x+1=0,x^2006+x^2005+x^2004+x^2003+x^2002
若x^4+x^3+x^2+x+1=0,求x^2006+x^2005+x^2004+x^2003+^2002的值.
化简:1+x+x(1+x)+x(1+x)^2+……+x(1+x)^2006
已知x^2+x+1=0,求x^2004+x^2003+x^2002
1+x+x^2+...+x^2004+x^2005=0 求x^2006
已知1+x+x^2+.+x^2004+x^2005=0,则x^2006=_____
已知x^2007=2,则(x^2006+x^2005+x^2004+...+x+1)(x-1)的值
已知x^2007=2,则(x^2006+x^2005+x^2004+.+x+1)×(x-1)=
x+1 x x x+1
计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3).+1/(x+2003)(x+2004)
化简:1/X(X+1) +1/(X+1)+(X+2) +1/(X+2)(X+3) +.+1/(X+2006)(X+200
1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+...1/(x+2005)(x+2006)