Question

Find the discriminant of $-x²-6x-9=0$. The discriminant is:

a) -24
b) 24
c) 0
d) 30

Answer 1

The discriminant of the quadratic equation -x² - 6x - 9 = 0 is found by using the formula d = b² - 4ac. After substituting the coefficients a = -1, b = -6, and c = -9 into the formula, the discriminant is calculated to be 0, indicating that there is one real solution.

Step-by-step explanation:

To find the discriminant of the given quadratic equation, we use the formula for the discriminant which is d = b² - 4ac, where a, b, and c are the coefficients of the terms in the equation ax² + bx + c = 0.

For the equation -x² - 6x - 9 = 0, the coefficients are a = -1, b = -6, and c = -9. Substituting these values into the discriminant formula:

d = (-6)² - 4(-1)(-9)

d = 36 - 36

d = 0

Therefore, the discriminant of the equation is 0, which indicates that there is exactly one real solution for the quadratic equation.