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

Solution:

The standard form of a quadratic equation is ax² + bx + c = 0

The nature of the quadratic roots is determined by the discriminant.

Discriminant is written as Δ = b² - 4ac

Given: -x² + 4x - 2 = 0

Where a = -1, b = 4, c = -2

Substituting the values in the discriminant formula, we get

Δ = 4² - 4 × -1 × -2

By further calculation

Δ = 16 - 8

Δ = 8

Therefore, the discriminant is 8.

What is the discriminant of the quadratic equation -x² + 4x - 2 = 0?

Summary:

The discriminant of the quadratic equation -x² + 4x - 2 = 0 is 8.