The discriminant of a quadratic equation is the value b2 – 4ac. What is the value of the discriminant of 0 = –2x2 + 6x + 13?
ax^2 + bx + c = 0
-2x^2 + 6x + 13 = 0
a = -2
b = 6
c = 13
b^2 - 4ac
6^2 - 4(-2)(13)
= 36 - (-104)
= 36 + 104
= 140
The value of the discriminant is 140.
Let
D-------> discriminant of a quadratic equation
we know that
The discriminant of a quadratic equation is equal to
\(D=b^{2} -4ac\)
In this problem
we have
\(-2x^{2} + 6x + 13=0\\ \\ a=-2\\ b=6\\c=13\)
Substitute the values in the formula above
\(D=6^{2} -4*(-2)*(13)\)
\(D=36+104\)
\(D=140\)
therefore
the answer is
the value of the discriminant is \(140\)