SOLUTION: Find the constant term that should be added to make the following expression a perfect-square trinomial. X^2+x

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Question 775715: Find the constant term that should be added to make the following expression a perfect-square trinomial. X^2+x
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+x
= x%5E2+%2B+2%2Ax%2A%281%2F2%29

If %281%2F2%29%5E2 is added then the expression becomes
= x%5E2+%2B+2%2Ax%2A%281%2F2%29+%2B+%281%2F2%29%5E2
= %28x%2B1%2F2%29%5E2

Hence, to convert the given expression into a perfect square 1%2F4 needs to be added.