A nerd guitarist attempted to measure the auxiliary rectangle from the dips of his preloved electric guitar with the given vertices V1(-3,0) and V2(3,0) and whose foci is F1(-4,0) and F2(4,0), thereby resulting to lengths of a=3, b=2.7 or 7,and c=/a^2+b^2=4 in inches. With the given measurements at hand, find the possible standard and general forms of equation of the guitar's hyperbola.

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