Question

What value is needed to complete the square?

1. x^2-2x+___

2. x^2-6x+___

Answer 1

1 and 9

Explanation:

To complete the square

add ( half the coefficient of the x- term)²

1

x² + 2(- 1)x + (- 1)² = x² - 2x + 1 = (x - 1)²

2

x² + 2(- 3)x + (- 3)² = x² - 6x + 9 = (x - 3)²