Hi

 Standard Form of an Equation of an Ellipse is 

where Pt(h,k) is the center and a and b  are the respective vertices distances from center.

find the foci of the ellipse with the equation:

   | Center(0,0)

 a = 4 and b = 6  f = sqrt(36-16) = sqrt(20) = ±2sqrt(5)

ellipse with foci (0, ±2sqrt(5))

 

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