Verified Answer :

Cam943

The discriminant of a quadratic equation is:

\(b^2-4ac\)

Plug in the values. 

\(3^2-4(2)(10)\)

\(=9-80\)

\(=-71\) 

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 :
\(b^{2}-4ac\)

\(= 3^{2}-4(2) \times 10\)

\(= 9-8 \times 10\)

\(= 9-80\)

\(= -71\)