# Completing the square!

Hello =D I was doing an IB Project for math... and this question popped out.

Describe a method of writing the quadratic expression x2 + bx + c in the form
(x – h) 2 + g

I know how to do them (complete the square) but I don't know how to describe them.

for example, where does h and g pop out?

If you guys could help me... it would mean so much to me =D

thanx!!

Dr Transport
Gold Member
look at $$x^{2} + bx +(b/2)^{2} - (b/2)^{2} + c = (x+b/2)^{2} +c - (b/2)^{2}$$ which completes the square.....

Tide
Homework Helper
enigmatatki said:
Hello =D I was doing an IB Project for math... and this question popped out.

Describe a method of writing the quadratic expression x2 + bx + c in the form
(x – h) 2 + g

I know how to do them (complete the square) but I don't know how to describe them.

for example, where does h and g pop out?

If you guys could help me... it would mean so much to me =D

thanx!!
You might be interested in the geometric interpretation - completing the square really IS completing the square!

(I had to do some serious editing and compression to get it to fit - hope it works!)

#### Attachments

• 15.2 KB Views: 377