Question

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.

10x2 + 80x + 220 = 0

Answer 1

First lets factor out a 10 to make our lives just a little easier:
we get
\(10(x^2 + 8x + 22 )=0\)

Answer 2

now lets just look at this part for a second
\[x^2 + 8x + 22\]

Answer 3

We want to change that part into something that looks like this

Answer 4

and we want the number that goes here: