Question

Show that x^2-8x+20 can be written in the form (x-a)^2+a. Where a is an integer

Answer 1

(x - 4)^2 + 4

Explanation:

x^2 - 8x + 20

= x^2 - 2*4*x + 16 + 4

= x^2 - 2*4*x + 4^2 + 4

= (x - 4)^2 + 4

= (x - a)^2 + a, with a = 4

Hope this helps!