Completed square form help

Question

How to write quadratic equation:

x^2 - 14x + 11

in completed-square form?

Answer 1

The complete the square, you have to determine what c term will create a perfect square trinomial. The formula for this is (b/2)² For this problem, your b term is -14. So this would be (-14/2)².= (-7)² = 49

So you would add 49 to create the perfect square. Then subtract 49 from the other term to keep the equation in balance. Then, simplify.

(x²-14x+49)+11-49

(x-7)²-38