Posted by **Nancy** on Wednesday, February 16, 2011 at 12:58am.

x^2 - 5/2x + 25/16 = -4 + 25/16

= (x-5/4)^2 = -64/16 + 25/16

= (x-5/4)^2 = -39/16

Would someone please explain how we arrived at

(x - 5/4)^2 = -64/16 + 25/16 from

x^2 - 5/2x + 25/16 = -4 + 25/16

Thanks in advance for your help.

- Algebra B -
**Quidditch**, Wednesday, February 16, 2011 at 1:09am
Which side (left or right) is puzzling?

- Algebra B -
**Nancy**, Wednesday, February 16, 2011 at 1:11am
The left, Thanks

- Algebra B -
**Quidditch**, Wednesday, February 16, 2011 at 1:18am
OK,

(x-5/4)^2

= (x-5/4)(x-5/4)

multiplying (remember FOIL--first, outer, inner, last)

= x^2 -(5/4)(x) - (5/4)(x) + (5/4)^2

= x^2 - (10/4)(x) + (5^2)/(4^2)

= x^2 -(5/2)(x) + (25)/(16)

Does that help?

- Algebra B -
**Nancy**, Wednesday, February 16, 2011 at 1:25am
Oh, reverse FOIL!

Thank you.

- Algebra B -
**Quidditch**, Wednesday, February 16, 2011 at 1:36am
You're welcome, but I am not sure what you mean by reverse FOIL.

First terms: x and x

Outer terms: x and -5/4

Inner terms: -5/4 and x

Last terms : -5/4 and -5/4

I just want to be sure you have a good understanding about the order.

- Algebra B -
**Nancy**, Wednesday, February 16, 2011 at 2:05am
Yes, You explained it very well. Thanks for taking the time.

- Algebra B -
**Quidditch**, Wednesday, February 16, 2011 at 2:09am
You are very welcome.

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