Complete the Square x^2-4x+

Problem

x2−4*x+…

Solution

1. Identify the coefficient of the linear term x which is b=−4

2. Divide the coefficient b by 2 to get b/2=(−4)/2=−2

3. Square this result to find the constant needed to complete the square: (−2)2=4

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

x2−4*x+4=(x−2)2

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