Question 819023: x^2-6x-19=(x+h)^2+k
The answer I have to find looks like this ( )^2+ _____ This is a box shape
This is my first final in college and I couldn't go to study sessions due to snow and ice. I have all other study questions correct.
I would appreciate any help.
Answer by josgarithmetic(39625)   (Show Source):
You can put this solution on YOUR website! Do you want to Complete the Square to put the left-member trinomial into the form of the right-member shown?
On the left side,  , factorable into  represents the area of a rectangle, with 'length' x and 'height'  . Chop this into a square of x by x and x by (x-6)-x, chop the x by (x-6-x) piece into two equal parts from top to bottom, and arrange one of the pieces along the bottom of the x by x square. Now, a small square piece is missing in order to COMPLETE the SQUARE for what was essentially the area for the rectangle of x by x-6.
The missing square piece to add, which is the same as the term to add, is  square units.
ADD and SUBTRACT 9 to the left-hand member of your "equation":
 , essentially from commutative property of addition
 , the association will not hurt anything here and in fact helps
...
Do you know what to do from here?
|
|
|
