SOLUTION: Choose the constant term that completes the perfect square trinomial. y 2 + 8y +16 -16 +64

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Question 1144373: Choose the constant term that completes the perfect square trinomial.
y 2 + 8y
+16
-16
+64
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
3 to choose from.
Try them, see which one works.
-----------
Learn how it works.
If you don't want to learn that, get out of the class.

Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.
The algorithm works in this way:


    1)  Take the coefficient at the variable of the degree 1.

             (in your case it is " 8 ").



    2)  Take HALF of it.

             (in your case the half is " 4 ").



    3)  Last step is to SQUARE this half.

             What you get, it will be the constant term you are looking for.


The algorithm that I presented you, works only for the case, when the leading coefficient at      is equal to 1.
But it is exactly your case.

---------------

If you need to develop your knowledge on completing square,  look into the lesson
    - HOW TO complete the square - Learning by examples
in this site.

You will find there many examples of solved problem by this method - your  TEMPLATES.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this textbook under the topic  "Quadratic equations".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



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