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 ....then square it
5/4 * 1/2 = 5/8 square it: 25 / 64
x^2 + 5/4 x + 25 / 64 is equal to (x + 5/8)2