Respuesta :
we know that
foci on x-axis-------> is a ellipse with horizontal major axis
the equation is
(x²/a²)+(y²/b²)=1
major axis is the x-axis with length 2a
2a=14--------> a=7
minor axis is the y-axis with length 2b
2b=4-----> b=2
the equation is
(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1
the answer is
(x²/49)+(y²/4)=1
see the attached figure
foci on x-axis-------> is a ellipse with horizontal major axis
the equation is
(x²/a²)+(y²/b²)=1
major axis is the x-axis with length 2a
2a=14--------> a=7
minor axis is the y-axis with length 2b
2b=4-----> b=2
the equation is
(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1
the answer is
(x²/49)+(y²/4)=1
see the attached figure
