wzory Viete’a: x_1+x_2=-\frac{b}{a} , x_1*x_2=\frac{c}{a}
x^2+(2m-3)x+m^2-2m-3=0
a=1 , b=2m-3 , c=m^2-2m-3
x_1+x_2<x_1*x_2
\frac{-b}{a}<\frac{c}{a}
\frac{-(2m-3)}{1}<\frac{m^2-2m-3}{1}
-2m+3<m^2-2m-3
-2m+3-m^2+2m+3<0
-m^2+6<0
-(m^2-6)<0/*(-1)
m^2-6>0
(m-\sqrt6)(m+\sqrt6)>0
m=\sqrt6\vee m=-\sqrt6
m\in (-\infty;-\sqrt6)\cup (\sqrt6;+\infty)