Answer :

Cam943
The discriminant of a quadratic equation is:

[tex]b^2-4ac[/tex]

Plug in the values. 

[tex]3^2-4(2)(10)[/tex]

[tex]=9-80[/tex]

[tex]=-71[/tex] 

Since the discriminant is negative, you can tell that the quadratic has no real solutions. 

Hope that helped!

~Cam943, Moderator
Question :
What is the discriminant: 2x^2 + 3x + 10=0
Answer :
from the matter we know that :
a = 2
b = 3
c = 10

discriminant formula is :
[tex]b^{2}-4ac[/tex]

[tex]= 3^{2}-4(2) \times 10[/tex]

[tex]= 9-8 \times 10[/tex]

[tex]= 9-80[/tex]

[tex]= -71[/tex]