document.write( "Question 818004: The foci of a ellipse are F1(2,0) and F2(-2,0) and the sum of the focal radii is 6 units. Find the equation.\r
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Algebra.Com's Answer #492365 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
eccentricity:
\n" ); document.write( "f^2 = a^2 − b^2
\n" ); document.write( "f = 2
\n" ); document.write( "---
\n" ); document.write( "sum of focal radii is 6:
\n" ); document.write( "2a = 6
\n" ); document.write( "a = 3
\n" ); document.write( "---
\n" ); document.write( "f^2 = a^2 − b^2
\n" ); document.write( "2^2 = 3^2 − b^2
\n" ); document.write( "4 = 9 − b^2
\n" ); document.write( "b^2 = 5
\n" ); document.write( "b = sqrt( 5 )
\n" ); document.write( "b = 2.236068
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\n" ); document.write( "ellipse eqn:
\n" ); document.write( "(x/a)^2 + (y/a)^2 = 1
\n" ); document.write( "(x/3)^2 + (y/sqrt( 5 ))^2 = 1
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\n" ); document.write( "answer:
\n" ); document.write( "(1/9)x^2 + (1/5)y^2 = 1
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