Question

consider the equation $x^2 - 6x - 9 = 0$. the value of the discriminant is select choice, so the equation has select choice. select choice -72 0 72

Explanation:

Step1: Recall discriminant formula

For quadratic equation \(ax^2 + bx + c = 0\), discriminant \(D = b^2 - 4ac\).
Here, \(a = 1\), \(b = -6\), \(c = -9\).

Step2: Calculate discriminant

Substitute values: \(D = (-6)^2 - 4(1)(-9)\)
\(= 36 + 36\)
\(= 72\).

Answer:

72