Find the equation of a ellipse given the foci. (1,0) (3,4)

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Find the equation of a ellipse given the foci. (1,0) (3,4)
 
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You should provide some workings to show what you have tried. What properties about ellipses and their foci do you know?
 
The locations of the foci are not enough to determine the ellipse. You also need to specify an additional parameter, say the minor radius, which can be any positive number.
 

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