Question

what is the discriminant of the quadratic equation 0 = -x² + 4x - 2?
-4
8
12
24

Explanation:

Step1: Recall discriminant formula

For a quadratic equation \(ax^2 + bx + c = 0\), the discriminant \(D\) is \(D = b^2 - 4ac\).

Step2: Identify \(a\), \(b\), \(c\)

Given equation \(0 = -x^2 + 4x - 2\), so \(a = -1\), \(b = 4\), \(c = -2\).

Step3: Calculate discriminant

Substitute into formula: \(D=(4)^2 - 4\times(-1)\times(-2)\)
\(= 16 - 8\)
\(= 8\)

Answer:

8