You can put this solution on YOUR website! find the foci for the conic (x/5)^2-(y/12)^2=1
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This is an equation of a hyperbola with horizontal transverse axis and center at the origin.
Its standard form of equation:
a^2=5^2=25
b^2=12^2=144
c^2=a^2+b^2=25+144=169
c=√169=13
foci: (0±c,0)=(0±13,0)=(-13,0) and (13,0)