SOLUTION: Find the constant term that should be added to make the following expression a perfect square trinomial. x^2 + 3x answer choice of 9, 9/4, 9/2 or 3/2 my answere is 9/

Algebra ->  Expressions-with-variables -> SOLUTION: Find the constant term that should be added to make the following expression a perfect square trinomial. x^2 + 3x answer choice of 9, 9/4, 9/2 or 3/2 my answere is 9/      Log On


   



Question 30611: Find the constant term that should be added to make the following expression a perfect square trinomial.
x^2 + 3x

answer choice of 9, 9/4, 9/2 or 3/2
my answere is 9/2 but am not confident it is correct

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
To makex%5E2%2B3x into a perfect square trinomial, you need to add the square of half the coefficient of x. The coefficient of x is 3, so the square of half that is %283%2F2%29%5E2+=+9%2F4
Check:
x%5E2+%2B+3x+%2B+9%2F4+=+%28x+%2B+3%2F2%29%28x+%2B+3%2F2%29 = %28x+%2B+3%2F2%29%5E2