(x-2)(x+4)(x-5)(x-11)+m为完全平方式,求m的值

2026-05-20 01:53:11
推荐回答(1个)
回答1:

(x-2)(x+4)(x-5)(x-11)+m
=[(x-2)(x-5)][(x+4)(x-11)]+m
=(x^2-7x+10)(x^2-7x-44)^2+m
=(x^2-7x)^2-34(x^2-7x)+17^2-17^2-440+m
-17^2-440+m=0=>m=729