document.write( "Question 641055: find an equation of the ellipse with center at the origin.
\n" ); document.write( "Given Foci: ( +-5,0); Major axis of length 12 \n" ); document.write( "

Algebra.Com's Answer #403526 by lwsshak3(11628) $\"\"$ $\"About$

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find an equation of the ellipse with center at the origin.
\n" ); document.write( "Given Foci: ( +-5,0); Major axis of length 12
\n" ); document.write( "**
\n" ); document.write( "Equation is that of an ellipse with horizontal major axis with center at (0,0)
\n" ); document.write( "Its standard form: $\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\"$
\n" ); document.write( "..
\n" ); document.write( "Given length of horizontal major axis=12=2a
\n" ); document.write( "a=6
\n" ); document.write( "a^2=36
\n" ); document.write( "..
\n" ); document.write( "Given Foci=ą5
\n" ); document.write( "c=5
\n" ); document.write( "c^2=25
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=36-25=11
\n" ); document.write( "..
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " $\"x%5E2%2F36%2By%5E2%2F11=1\"$
\n" ); document.write( " \n" ); document.write( "

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