Answer:
[tex]\huge\boxed{16}[/tex]
Step-by-step explanation:
The discriminant of [tex]y=ax^2+bx+c[/tex] is equal [tex]b^2-4ac[/tex].
We have the equation:
[tex]x^2+2x+5=0\to a=1,\ b=2,\ c=5[/tex]
Substitute:
[tex]b^2-4ac=2^2-4(1)(5)=4-20=-16[/tex]