Fill in the blank with a constant, so that the resulting quadratic is the square of a binomial: x^2 + 5/4*x + ___
Take 1/2 of the 'x' coefficient....square it and that is it
5/4 * 1/2 = 5/8
(x+ 5/8)2 = x^2 + 5/4 x + 25/64