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
