document.write( "Question 1204201: Find an equation in standard form for the ellipse with center at (5, 8), horizontal axis of length 10 and passes through the point (6, 4). \n" ); document.write( "
Algebra.Com's Answer #840313 by Edwin McCravy(20060)\"\" \"About 
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Find an equation in standard form for the ellipse with center at (5, 8),
\n" ); document.write( "horizontal axis of length 10 and passes through the point (6, 4).
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document.write( "\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"\r\n" );
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document.write( "Substitute a=10/2=5.  h=5, k=8, x=6, y=4\r\n" );
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document.write( "\"%286-5%29%5E2%2F5%5E2%2B%284-8%29%5E2%2Fb%5E2=1\"\r\n" );
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document.write( "\"%281%29%5E2%2F25%5E%22%22%2B%28-4%29%5E2%2Fb%5E2=1\"\r\n" );
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document.write( "\"1%5E%22%22%2F25%5E%22%22%2B16%5E%22%22%2Fb%5E2=1\"\r\n" );
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document.write( "Multiply through by 25b2.\r\n" );
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document.write( "\"b%5E2%2B400=25b%5E2\"\r\n" );
document.write( "\"400=24b%5E2\"\r\n" );
document.write( "\"400%2F24=b%5E2\"\r\n" );
document.write( "\"50%2F3=b%5E2\"\r\n" );
document.write( "\"sqrt%2850%2F3%29=b\"\r\n" );
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document.write( "\"%28x-5%29%5E2%2F5%5E2%2B%28y-8%29%5E2%2F%2850%2F3%29=1\"\r\n" );
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document.write( "Edwin
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