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. Divide the coefficient b by 2 to get 5/2

3. Square the result of the division to find the constant term needed to complete the square: (5/2)2=25/4

4. Add this constant to the original expression to form a perfect square trinomial.

Final Answer

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

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