Question

Complete the square to rewrite this expression in the

form (x + a)2 + b
a and b can be positive or negative.
x² +20x +33

Answer 1

(x + 10)² - 67

Explanation:

given

x² + 20x + 33

to complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 20x

= x² + 2(10)x + 10² - 10² +33

= x² + 2(10)x + 100 - 100 + 33

= (x + 10)² - 67 ← in the form (x + a)² + b