Complete the Square x^2+16x+

Problem

x2+16*x+…

Solution

1. Identify the coefficient of the linear term x which is b=16

2. Divide the coefficient b by 2 to find the value to be squared: 16/2=8

3. Square this result to find the constant term needed to complete the square: 8=64

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+16*x+64=(x+8)2

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