ANSWER
The discriminant is 49.
EXPLANATION
The given quadratic equation is:
[tex]0 =2{x}^{2} + 3x - 5[/tex]
We can rewrite this as
[tex]2{x}^{2} + 3x - 5 = 0[/tex]
Comparing this to
[tex]a{x}^{2} + bx + c = 0[/tex]
We have a=2,b=3, c=-5.
The discriminant is given by:
[tex]D = {b}^{2} - 4ac[/tex]
We plug in the values to get:
[tex]D = {3}^{2} - 4(2)( - 5)[/tex]
[tex]D =9 + 40[/tex]
[tex]D = 49[/tex]
