Complete the Square x^2-26x

Problem

x2−26*x

Solution

1. Identify the coefficient of the linear term x which is b=−26

2. Calculate the value needed to complete the square by taking half of b and squaring it: ((−26)/2)2=(−13)2=169

3. Add and subtract this value within the expression to maintain equality: x2−26*x+169−169

4. Factor the perfect square trinomial x2−26*x+169 into the form (x+b/2)2

5. Simplify the expression into its final vertex form.

Final Answer

x2−26*x=(x−13)2−169

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