Complete the Square x^2+6x+

Problem

x2+6*x+…

Solution

1. Identify the coefficient of the linear term x which is b=6

2. Divide the coefficient b by 2 to get b/2=6/2=3

3. Square the result of the division to find the constant needed to complete the square: 3=9

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

5. Factor the resulting trinomial into the form (x+b/2)2

Final Answer

x2+6*x+9=(x+3)2

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