Find the value of the discriminant. 2x^2+12x-13=0 then Determine the number and type of roots.

Real and distinct

Step-by-step explanation:

B² - 4AC

12² - 4 (2) (-13)

144 + 104

248

Since the discriminate is positive, the roots are real and distinct

see below

Step-by-step explanation:

The discriminant is

b^2 - 4ac

Where ax^2 + bx + c = 0

so a = 2 b=12 and c=-13

12^2 - 4 (2) * -13

144 + 104

248

Discriminant is 248

since it is greater than 0 we have 2 real distinct roots