document.write( "Question 617399: Find an equation of an ellipse having the given intercepts:
\n" ); document.write( "x - intercepts: +-Square root 6
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Algebra.Com's Answer #388341 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Plot those 4 intercepts:\r\n" );
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document.write( " draw the ellipse \r\n" );
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document.write( "Since it looks like this: \"\" \r\n" );
document.write( "and not like this:\"\",\r\n" );
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document.write( "its equation is\r\n" );
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document.write( " +  = 1\r\n" );
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document.write( "The center is (h,k) = (0,0), so it has the form\r\n" );
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document.write( " +  = 1\r\n" );
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document.write( " +  = 1\r\n" );
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document.write( "The y-intercepts are the vertices, the x-intercepts are the covertices:\r\n" );
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document.write( "a = semi-major axis = distance between center and a vertex = 2Ö3\r\n" );
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document.write( "Therefore \r\n" );
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document.write( "b = semi-minor axis = distance between center and a covertex = Ö6\r\n" );
document.write( "                  _                       _\r\n" );
document.write( "Therefore a² = (2Ö3)² = 4·3 = 12,  b² = (Ö6)² = 6\r\n" );
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document.write( " +  = 1\r\n" );
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document.write( "Edwin

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