Answer:
The discriminant is -23 and the equation has no real roots.
Step-by-step explanation:
Since, the discriminant of the quadratic equation [tex]ax^2+bx+c=0[/tex]
is,
[tex]D=b^2-4ac[/tex]
If D > 0, then the equation has two distinct real roots,
if D = 0, then the equation has two equal real roots,
if D < 0 then the equation has no real roots,
Here, the quadratic equation is,
[tex]x^2+3x+8=0[/tex]
Discriminant,
[tex]D=3^2-4\times 1\times 8=9-32 = -23 < 0[/tex]
Therefore, the discriminant is -23 and the equation has no real roots.
