Find the possible value or values of z in the quadratic equation z² - 4z + 4 = 0.

Solution:

z² - 4z + 4 = 0 [Given]

Let us factorize the quadratics by separating the middle term

z² - 2z - 2z + 4 = 0

Taking out the common terms

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

So we get

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

As the product is zero, one factors should be zero

z - 2 = 0

z = 2

Therefore, the possible value of z is 2.

Find the possible value or values of z in the quadratic equation z² - 4z + 4 = 0.

Summary:

The possible value or values of z in the quadratic equation z² - 4z + 4 = 0 is 2.