[tex]2x^2 +3x -5[/tex]
a: 2
b: 3
c: -5
[tex]\boxed{\Delta = b^2 - 4ac}[/tex]
Using it
[tex]\Delta = 3^2 - 4 \times 2 \times (-5)[/tex]
Squaring and multiplying
[tex]\Delta = 9 +40[/tex]
Addition
[tex]\boxed {\Delta = 49}[/tex]
The discriminant is 49.