Let
D-------> discriminant of a quadratic equation
we know that
The discriminant of a quadratic equation is equal to
[tex] D=b^{2} -4ac [/tex]
In this problem
we have
[tex] -2x^{2} + 6x + 13=0\\ \\ a=-2\\ b=6\\c=13 [/tex]
Substitute the values in the formula above
[tex] D=6^{2} -4*(-2)*(13) [/tex]
[tex] D=36+104 [/tex]
[tex] D=140 [/tex]
therefore
the answer is
the value of the discriminant is [tex] 140 [/tex]
