Question

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

a.) –4
b.) 8
c.) 12
d.) 24

Answer 1

Answer:

D =b2 - 4ac

D =(4)^2-4 (-1)(-2)

D =16 - 8

D =8

Answer 2

The discriminant of the quadratic equation is 8

Solution:

For a quadratic equation,

$ax^2+bx+c = 0$ -------- eqn 1

Discriminant is given as:

$D = b^2-4ac$

Given is:

$-x^2 + 4x - 2 = 0$

Comparing with eqn 1,

a = -1

b = 4

c = -2

Therefore,

$D = 4^2 - (4)(-1)(-2)\\\\D = 16 - 8\\\\\D = 8$

Thus the discriminant of the quadratic equation is 8

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