Your class may have specifications that require you to determine if you have the resolution you need. However, in industry, resolution required is not a hard and fast rule, manually calculated, then applied to a chromatogram on a pass/fail basis.
Resolution, Rs, is defined in the reference I have as t2 - t1/0.5(w2 - w1). Although I generally rely on the chromatographic software to compute it for me, rather than doing it by hand. So I'd be using Telamond:'s definition in preference to redskytonight820:'s which can also be used to determine resolution, and is based on capacity, plates, and separation factor. The latter coefficient is abbreviated in the formula as alpha, which contains t2 - t1 in it, so you're both correct. Whew, like I said, I rely on the software to do this for me.
Some people are of the opinion that any resolution greater than 1.0 is adequate, since that requires that they are farther apart than they are wide. However, that may not be adequate. According to my reference* a 1.0 resolution represents a 5% overlap between adjacent peaks, an Rs of 1.5 is called "baseline" resolution, with an overlap of 1%.
All of the proceeding assumes, the peaks are approximately equal in size, and are perfectly symmetrical Gaussian curves. Which, often, is not the case. Many people hold themselves to a standard of Rs no less than 1.7, to account for the peaks tailing or fronting. Although exceeding 2.0 is pretty difficult, for separations involving more than a few peaks.
There are also other standards people may hold their separation to. A particular N, for a peak. Or a particular k'. Depending on the development of the method, and industry requirements.
Long story short, either you have a value you have to conform to, and your separation meets it, or you haven't. But I don't know how to find out what's good enough, based only on a forum post.
*The Practice of Modern HPLC, Snyder, Dolan, & Jupille