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The number of roots of a quadratic function can be determined from its discriminant.

If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.

The discriminant can be calculated as:

Disc = b² - 4ac

For the given equation:

Disc = 9 - 4(2)(1) =1

Since the value of discriminant is positive, the function will have two distinct roots.

So, the answer to this question is option B