x-2x+3x-4x+5x.+99x-100x=25求解

问题描述:

x-2x+3x-4x+5x.+99x-100x=25求解

x-2x+3x-4x+......+99x-100x=25
(x-2x)+(3x-4x)+......+(99x-100x)=25
(-x)+(-x)+……+(-x)=25
-50x=25
x=-½

x(1-2+3-4+...+99-100)=25
x[(1-2)+(3-4)+...+(99-100)]=25
x(-1×50)=25
x=25/(-50)=-1/2