Question

当-1小于等于m小于等于3时,求使不等式x平方-mx大于3x-2m+1恒成立的x的取值范围?

Answer 1

x^2-mx>3x-2m+1

x^2-3x-1>mx-2m

(1).当x>2时

(x^2-3x-1)/(x-2)>m

(x2-3x-1)/(x-2)>3,

x5,

(2)当x(x-2)>m

则(x2-3x-1)/(x-2)