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

by EricPowell
Tags: 25 or 4, perfect, square, trinomial
 P: 26 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.
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 Quote by EricPowell 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.
Hello EricPowell. Welcome to PF !

Where did you get the 25/4 that's in the title of this thread?
 P: 26 NEVERMIND 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!
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X^2 + 5x + 25/4 is a perfect square trinomial?

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

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