Complete the Square x^2+18x+

Problem

$$ x^2 + 18x + \text{___} $$

Solution

1. Identify the coefficient of the linear term x which is b=18

2. Divide the coefficient b by 2 to find the value to be squared: 18/2=9

3. Square this result to find the constant term needed to complete the square: 9=81

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+18*x+81=(x+9)2

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