Question 1180054
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@greenestamps, your exposition is fine, but it still requires your corrections,

regarding the signs of different terms.




To the customer, who posted this question:


<pre>
    - definitely ignore the post by @mananth, since it contains 
      arithmetic errors and leads you to NOWHERE.
</pre>


Also to the customer, for your better understanding.


<pre>
    There are two basic cases and two basic procedures when we complete the square.


    One case is when we transform a quadratic function to vertex form.


    Another case is when we solve quadratic equation by completing the square.


    These cases are different, and procedures are slightly different.


    For a beginner student, it is important to be informed about two cases 
    and different procedures, and to see and understand the difference.


    At least, to be WARNED about it . . . 
</pre>


On this subject, &nbsp;see two my lessons in this site


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Learning-by-examples-on-HOW-TO-complete-the-square.lesson>HOW TO complete the square - Learning by examples</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/HOW-TO-solve-quadratic-equation-by-completing-the-square-Learning-by-examples.lesson>HOW TO solve quadratic equation by completing the square - Learning by examples</A> 



Two lessons are organized to teach you on these cases separately --- for your better understanding.