ANSWER
The discriminant is
[tex]D. 49[/tex]
EXPLANATION
The given equation is
[tex]0 = 2 {x}^{2} + 3x - 5[/tex]
We can rewrite this as,
[tex]2 {x}^{2} + 3x - 5 = 0[/tex]
When we compare this to the general quadratic equation, we obtain;
[tex]a=2,b=3,c=-5[/tex]
The discriminant is given by,
[tex]D = {b}^{2}-4ac[/tex]
We substitute the values to obtain,
[tex]D = {3}^{2}-4(2)( - 5)[/tex]
[tex]D = 9 + 40[/tex]
We simplify to get,
[tex]D = 49[/tex]
Hence the correct answer is D.
