Question

求不等式x^2-2x+2m-m^2>0的解集.

Answer 1

x^2-2x+1+2m-m^2-1>0

(x-1)^2-(m-1)^2>0

(x-1)^2 >(m-1)^2

当m>=1时,x>m

当m小于1时,x>2-m