Question

If using the method of completing the square to solve the quadratic equation � 2 + 7 � − 27 = 0 x 2 +7x−27=0, which number would have to be added to "complete the square"?

Answer 1

To complete the square for the quadratic equation x^2 + 7x - 27 = 0, we want to add a specific number to both sides of the equation in order to create a perfect square trinomial on the left side.

The coefficient of x in the equation is 7, and to complete the square, we need to take half of this coefficient and square it. Half of 7 is 7/2, and squaring it gives us (7/2)^2 = 49/4.

Therefore, the number that needs to be added to "complete the square" is 49/4.