Question

What is the x-intercept of the graph of y =x2-4x+4

Answer 1

      y = x² - 4x + 4
      0 = x² - 4x + 4
      0 = x² - 2x - 2x + 4
      0 = x(x) - x(2) - 2(x) - 2(-2)
      0 = x(x - 2) - 2(x - 2)
      0 = (x - 2)(x - 2)
      0 = (x - 2)²
      0 = x - 2
   + 2      + 2
      2 = x
(x, y) = (2, 0)