Question

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the number of real solutions the equation has?
The discriminant is −4, so the equation has 2 real solutions.
The discriminant is −4, so the equation has no real solutions.
The discriminant is 35, so the equation has 2 real solutions.
The discriminant is 35, so the equation has no real solutions.

Answer 1

Answer:

The discriminant is −4, so the equation has no real solutions.

Step-by-step explanation:

In the equation 0 = x² - 4x + 5, a is 1, b is -4, and c is 5.

Plug in these values into b² - 4ac, and simplify:

b² - 4ac

(-4)² - 4(1)(5)

16 - 20

= -4

So, the discriminant is -4. This means that the equation has no real solutions, because the discriminant is a negative number.

The correct answer is that The discriminant is −4, so the equation has no real solutions.