How many solutions does the function below have?

-x^2−2x−5=0

1 answer

To find the number of solutions for the quadratic equation -x^2 - 2x - 5 = 0, we use the discriminant, which is given by:

Discriminant (D) = b^2 - 4ac

where a = -1, b = -2, and c = -5.

Substituting these values:

D = (-2)^2 - 4(-1)(-5) = 4 - 20 = -16

Since the discriminant is negative (D < 0), the quadratic equation has no real-number solutions.