document.write( "Question 524277: Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at (+1,0)|(-1,0) \n" ); document.write( "
Algebra.Com's Answer #347732 by lwsshak3(11628)\"\" \"About 
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Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at (+1,0)|(-1,0)
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\n" ); document.write( "Given equation is that of an ellipse with vertical major axis of the standard form:
\n" ); document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, with (h,k) being the (x,y) coordinates or the center.
\n" ); document.write( "..
\n" ); document.write( "For given equation:
\n" ); document.write( "Center: (0,0)
\n" ); document.write( "Co-vertices or minor axis=2=2b
\n" ); document.write( "b=1
\n" ); document.write( "b^2=1
\n" ); document.write( "c=2
\n" ); document.write( "c^2=4
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "a^2=c^2+b^2=4+1=5
\n" ); document.write( "a=√5≈2.24
\n" ); document.write( "Equation:
\n" ); document.write( "(x-0)^2/1+(y-0)^2/5=1
\n" ); document.write( "x^2+y^2/5=1
\n" ); document.write( "
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