document.write( "Question 475250: What are the foci of the ellipse 8x2 + 12y2 = 96? show work \n" ); document.write( "

Algebra.Com's Answer #325866 by robertb(5830) $\"\"$ $\"About$

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$\"8x%5E2+%2B+12y%5E2+=+96\"$
\n" ); document.write( "<==> $\"x%5E2%2F12+%2B+y%5E2%2F8+=+1\"$
\n" ); document.write( "Now for ellipse, $\"b%5E2+=+a%5E2+-+c%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "==> $\"8+=+12+-+c%5E2\"$ ==> $\"c%5E2+=+4\"$ ==>c = 2, -2.\r
\n" ); document.write( "\n" ); document.write( "Hence the foci are (-2,0) and (2,0). (The major axis is along the x-axis.)
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