Question

Y = x^2 - 4x + 4
Find the discriminant.
Determine the number
of real solutions.

Answer 1

The discriminant is 0

There is 1 real solution

Explanation:

Use the discriminant formula, D = b² - 4ac

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

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.