1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Completing the square / Changing format of equation

  1. Aug 3, 2007 #1
    I'm supposed to use the method of completeing the square to write an equation in the form [tex] y = a(x - p)^{2} + q [/tex].

    Here's one of the equations: [tex] y = x^{2} + 6x [/tex]
    and another: [tex] y = -2x^{2} + 8x + 5 [/tex]

    I really don't know where to start, which is why I can't include any work... The main problem here is I don't know how to get the equation in the [tex] (x - p)^{2} [/tex] format. I can complete the square but its the - sign that's throwing me off.
    If someone could just explain how to go about doing this it would be greatly appreciated.
     
  2. jcsd
  3. Aug 3, 2007 #2
    theres a completeing the square formula but the first one is very obvious so i'll do it for you

    it'll be easier to see if you rewrite this
    [tex] y = (ax^2-2xp +p^2) -p^2 [/tex]
    then your first problem is

    [tex] y = x^{2} + 6x + 9 - 9 = (x^2 +3)^2 - 9 [/tex]
     
  4. Aug 3, 2007 #3

    symbolipoint

    User Avatar
    Homework Helper
    Education Advisor
    Gold Member

    danielle36,

    Other messages have mentioned this; but if you could find a graphical representation of Completing The Square, you will probably understand the process very well. The idea of converting the equation from general form into standard form will require subtracting the "piece" that you add in order for the expression to be equivalent to the original expression.
     
  5. Aug 3, 2007 #4

    olgranpappy

    User Avatar
    Homework Helper

    ...just fixing a typo. the last x should not be squared on the far RHS
    [tex]
    (x+3)^2-9
    [/tex]
     
  6. Aug 3, 2007 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    (x-a)2= x2- 2ax+ a2

    If you want to change x2- 6x to a perfect square what must "a" be? You know that -6x= -2ax.

    -2x2+ 8x+ 5 is a little harder. Write it as -2(x2- 4x)+ 5. Now look just at the x2- 4x. Remembering that -2ax= -4x, what is a? What is a2? Add and subtract a2 inside the parentheses and then take part outside the parentheses.
     
    Last edited: Aug 4, 2007
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Completing the square / Changing format of equation
  1. Completing the square (Replies: 3)

  2. Completing the square (Replies: 5)

  3. Completing the Square (Replies: 2)

Loading...