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X^2 + 5x + 25/4 is a perfect square trinomial? 
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#1
Feb2112, 07:05 PM

P: 26

In my precalculus 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) x^{2} + 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
Feb2112, 07:37 PM

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Where did you get the 25/4 that's in the title of this thread? 


#3
Feb2112, 07:39 PM

P: 26

NEVERMIND
Well now I feel silly...I never thought of thinking of 5/2 as being half of 5. 5/2^{2} is 25/4. Thank you for your efforts to help me though! 


#4
Feb2112, 07:46 PM

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



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