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 given by \(D = b^2 - 4ac\).

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

From the equation \(0=-x^2 + 4x - 2\), we have \(a=-1\), \(b = 4\), \(c=-2\).

Step3: Substitute into formula

Substitute \(a\), \(b\), \(c\) into \(D = b^2 - 4ac\):

$$
LATEXBLOCK0
$$

Answer:

8 (corresponding to the option with 8)