Question

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

Answer 1

Real and distinct

Explanation:

B² - 4AC

12² - 4(2)(-13)

144 + 104

248

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

Answer 2

see below

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