Răspuns:
Explicație pas cu pas:
a)
[tex]\displaystyle -\frac{\Delta}{4a}=-2\Rightarrow m^2-m-2=0\Rightarrow m\in\{-1,2\}[/tex]
b)
[tex]\Delta < 0\Rightarrow 4m^2-4m < 0\Rightarrow m\in(0,1)[/tex]
c)
[tex]S=x_1+x_2=-2m\\P=x_1x_2=m[/tex]
Expresia se scrie
[tex]\displaystyle\frac{S^2-2P}{S}+2P=\frac{4m^2-2m}{-2m}+2m=-2m+1+2m=1[/tex]
