document.write( "Question 948994: What is the equation of ellipse w c(0,0),major axis is x-axis given the ff. coordinates distance between foci 2 √13 and latus rectum is 3/2 ? \n" ); document.write( "
Algebra.Com's Answer #579392 by lwsshak3(11628)\"\" \"About 
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What is the equation of ellipse w c(0,0),major axis is x-axis given the ff. coordinates distance between foci 2 √13 and latus rectum is 3/2 ?
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\n" ); document.write( "major axis is horizontal
\n" ); document.write( "latus rectum=\"2b%5E2%2Fa=3%2F2\"
\n" ); document.write( "b^2=3a/4
\n" ); document.write( "c=√13(distance from center to foci)
\n" ); document.write( "c^2=13
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "a^2-b^2=13
\n" ); document.write( "a^2-3a/4-13=0
\n" ); document.write( "4a^2-3a-52=0
\n" ); document.write( "(a-4)(4a+13)=0
\n" ); document.write( "a=-13/4(reject)
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "b^2=3a/4=3
\n" ); document.write( "equation:\"x%5E2%2F16%2By%5E2%2F3=1\"
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