Completing the square x^2-14x+49=0

(x - 7) ²

x = 7

Step-by-step explanation:

Given the quadratic function (polynomial):

x² - 14x + 49 = 0

The first term (x²) and the last term (49) are both perfect squares and the second term is the sum of the product of these two terms (-7 + - 7 = - 14):

(x - 7) (x - 7) = (x-7) ²