How Do I Find The Foci Of An Ellipse If Its Equation Is X 2 36 Y 2 64 1

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##x^2/36+y^2/64=1##

##a^2=64####b^2=36##

The center is ##(0,0)##.

The y-axis is the major axis. We know this because the ##y^2## term has the larger denominator.

We find the foci using the following equation and solving for ##c##.

##c^2=a^2-b^2####c^2=64-36####c^2=28####c=sqrt(2*2*7)####c=2sqrt(7)##

The coordinates for the foci are ##(0,+-c) -> (0,+-2sqrt(7))##

 
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