Complete the Square x^2-14x+

Problem

x2−14*x+…

Solution

1. Identify the coefficient of the linear term x which is b=−14

2. Divide this coefficient by 2 to find the value to be squared: (−14)/2=−7

3. Square the result of the division: (−7)2=49

4. Add this value to the expression to create a perfect square trinomial.

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

Final Answer

x2−14*x+49=(x−7)2

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