Find the possible value or values of z in the quadratic equation z2 - 4z + 4 = 0. A. z = 2√ 2 + 2, z = - √ 2 + 2 B. z = 2 C. z = √ 2 + 2, z = - √ 2 + 2 D. z = 10, z = 6

Start with the given equation

Let's use the quadratic formula to solve for z

Start with the quadratic formula

Break up the expression.

Combine like terms

Simplify

So the solution is z=2 (with a multiplicity of 2) z^2 - 4z + 4 = 0

Factor to get:

(z-2) (z-2) = 0

Since the product is zero, one of the factors must be zero:

z-2 = 0

Therefore z = 2