Question 952225: Center is (3,2); a=3c; foci:(1,2),(5,2)
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website! given:
Center is ( , );
 ;
foci:( ,),( ,)
the equation of the ellipse is:
so, for your ellipse it is:
 (center at (,), means  and  )
for an ellipse,
because the foci have the same  -coordinate, you know that it is a  ellipse (major axis is horizontal)
distance from (,) to (,) = , where  is the distance from the center to each focus
 ==>  (which is also the distance from (,) to either (,) or (,))
since  , that means that 
then,  =>  }}} =>
and your equation is:
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