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Homework Help: X^2 + 5x + 25/4 is a perfect square trinomial?

  1. Feb 21, 2012 #1
    In my pre-calculus math class right now we are learning how to convert the standard form of a quadratic equation to general form. There are just some questions that are about filling in the missing number to make the equation, what I assume to be, a perfect square trinomial. Is that what the question is asking?

    The textbook gives the answer as being 25/4. I have no idea how I would go about accomplishing that.

    1. The problem statement, all variables and given/known data

    2) Find a number that makes the expression a perfect square of the form (x+h)^2.

    e) x2 + 5x + __

    3. The attempt at a solution
    I would think that I would have to find a perfect square whose root adds to 5 when multiplied by two. And I can not think of any such number.
  2. jcsd
  3. Feb 21, 2012 #2


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    Staff Emeritus
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    Hello EricPowell. Welcome to PF !

    Where did you get the 25/4 that's in the title of this thread?
  4. Feb 21, 2012 #3
    Well now I feel silly...I never thought of thinking of 5/2 as being half of 5. 5/22 is 25/4.

    Thank you for your efforts to help me though!
  5. Feb 21, 2012 #4


    Staff: Mentor

    And you want to write that as (5/2)2, not 5/22, which is equal to 5/4.
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