代数式x^2+2mx+2m^2+1的值恒大于零

问题描述:

代数式x^2+2mx+2m^2+1的值恒大于零

(x+m)^2+m^2+1=x^2+2mx+2m^2+1
(x+m)^2+m^2≥0
(x+m)^2+m^2+1≥1
m=∝