解方程:(2000-x)^3+(x-1998)^3=8

2025-12-14 15:06:32
推荐回答(1个)
回答1:

(2000-x+ x-1998)( (2000-x)^2-(2000-x)(x-1998)+ (x-1998)^2)=8
( (2000-x)^2-(2000-x)(x-1998)+ (x-1998)^2)=4
( (2000-x)^2+2(2000-x)(x-1998)+ (x-1998)^2-3(2000-x)(x-1998))=4
( (2000-x+x-1998)^2-3(2000-x)(x-1998))=4
(4-3(2000-x)(x-1998))=4
3(2000-x)(x-1998)=0
2000=x 或 x=1998