document.write( "Question 877541: find an equation of the ellipse having foci (-1,0) and (7,0) and with 10 as the sum of the focal radi \n" ); document.write( "
Algebra.Com's Answer #529462 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
find an equation of the ellipse having foci (-1,0) and (7,0) and with 10 as the sum of the focal radii.
\n" ); document.write( "foci coordinates show ellipse has a horizontal major axis.
\n" ); document.write( "Its standard form of equation:\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2\", a>b, (h,k)=coordinates of center
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (3,0)
\n" ); document.write( "sum of the focal radii=10=length of major axis=2a
\n" ); document.write( "a=5
\n" ); document.write( "a^2=25
\n" ); document.write( "c=4
\n" ); document.write( "c^2=16
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=25-16=9
\n" ); document.write( "equation:\"%28x-3%29%5E2%2F25%2By%5E2%2F9\"
\n" ); document.write( "
\n" );