Question

What is the discriminant of the quadratic equation 0 = 2x2 + 3x – 5?

A. –37
B. –31
C. 43
D. 49

Answer 1

49 would be the answer!

Answer 2

ANSWER

The discriminant is


`D. 49`

Step-by-step explanation

The given equation is


`0 = 2 {x}^(2) + 3x - 5`
We can rewrite this as,



`2 {x}^(2) + 3x - 5 = 0`

When we compare this to the general quadratic equation, we obtain;



`a=2,b=3,c=-5`

The discriminant is given by,


`D = {b}^(2)-4ac`

We substitute the values to obtain,



`D = {3}^(2)-4(2)( - 5)`


`D = 9 + 40`

We simplify to get,


`D = 49`

Hence the correct answer is D.