On whether or not he meets the qualifications for holding the office.
Assume for the sake of discussion the Court concludes he is unqualified (because he was not born with undivided citizenship), then they say, "but we are powerless to do anything about it."
-- You just can't ignore the Constitution. --
LOL. Happens ALOT. Just depends on how, and what part is being torn asunder.
-- You want the Chief Justice, who administered the oath of office, to inquire as to whether Obama should be president? --
I'd like to see an opinion as to what constitute natural born citizen, in light of the 14th amendment and the Wong Kim Ark decision.
That might be fun, but the Court has a firm rule about not issuing advisory opinions.
I've written Boehner and Issa asking that they subpoena the Hawaiian birth records. Without committing themselves to any action, they "appreciate" my interest in the issue.