Question

If using the method of completing the square to solve the quadratic equation x^2-13x+14=0, which number would have to be added to "complete the square"?

Answer 1

Answer:

169/4

Step-by-step explanation:

Take the coefficient of the x term.  Here it's -13.  Now halve that, obtaining -13/2.  Finally, square this result.  We get 169/4.  This is the desired number.

x^2 - 13x + 169/4 - 169/4 + 14 = 0