Factorize (9x² - 12x + 4) by completing the square and find its minimum value and the x-value where the minimum value occurs.

9x² - 12x + 4 = (3x - 2)²

9x² - 12x + 4 >= 0

(3x - 2)² >= 0

minimum value = 0 

(3x - 2)² = 0

x = 2 / 3

Factorize (25x² - 20x + 4) by completing the square and find its minimum value and the x-value where the minimum value occurs.

25x² - 20x + 4 = (5x - 2)²

25x² - 20x + 4 >= 0

(5x - 2)² >= 0

minimum value = 0 

(5x - 2)² = 0

x = 2 / 5

Factorize (25x² - 30x + 9) by completing the square and find its minimum value and the x-value where the minimum value occurs.

25x² - 30x + 9 = (5x - 3)²

25x² - 30x + 9 >= 0

(5x - 3)² >= 0

minimum value = 0 

(5x - 3)² = 0

x = 3 / 5