Find the Perfect Square Trinomial x^2+5x+

Problem

x2+5*x+?

Solution

1. Identify the coefficient of the linear term x which is b=5

2. Apply the formula for completing the square by taking half of the linear coefficient: b/2=5/2

3. Square this value to find the constant term needed for a perfect square trinomial: (5/2)2=25/4

4. Substitute the result back into the expression to complete the trinomial.

Final Answer

x2+5*x+25/4=(x+5/2)2

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