document.write( "Question 399214: What is the equation of the ellipse with foci (0, 6), (0, -6) and co-vertices (2, 0), (-2, 0)? \n" ); document.write( "

Algebra.Com's Answer #282701 by robertb(5830) $\"\"$ $\"About$

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From the co-vertices, $\"b%5E2++=2%5E2+=+4\"$ . Now $\"c%5E2+=+6%5E2+=+36\"$ .
\n" ); document.write( "==> $\"b%5E2+=+a%5E2+-+c%5E2\"$ ==> $\"4+=+a%5E2+-+36\"$ , or $\"a%5E2+=+40\"$ .
\n" ); document.write( "The center of the ellipse is the origin (0,0).
\n" ); document.write( "Thus the equation of the ellipse is $\"x%5E2%2F4+%2B+y%5E2%2F40++=1\"$ \n" ); document.write( "

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