Question

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x^2+5/4x

Answer 1

Let's work backwards.

The answer will be in the form (x+a)^2 for any real number a

Now the expansion will be x^2+2ax+a^2.

We can see just from this that 2a=5/4

a=5/8

The result binomial should be x+5/8

Resulting binomial squared expansion should be x^2+5/4x+25/64

The term we need to add will be 25/64