document.write( "Question 1042880: An ellipse passing through (2, 3) and (6, 1)? \n" ); document.write( "

Algebra.Com's Answer #657930 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's use the genereal equation of an ellipse,
\n" ); document.write( " $\"Cx%5E2%2BDy%5E2=1\"$
\n" ); document.write( "Use each point to get a linear equation,
\n" ); document.write( " $\"C%282%29%5E2%2BD%283%29%5E2=1\"$
\n" ); document.write( "1. $\"4C%2B9D=1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"C%286%29%5E2%2BD%281%29%5E2=1\"$
\n" ); document.write( "2. $\"36C%2BD=1\"$
\n" ); document.write( "Multiply eq. 2 by 9 and subtract eq. 1 from it,
\n" ); document.write( " $\"324C%2B9D-4C-9D=9-1\"$
\n" ); document.write( " $\"320C=8\"$
\n" ); document.write( " $\"C=8%2F320\"$
\n" ); document.write( " $\"C=1%2F40\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"4%281%2F40%29%2B9D=1\"$
\n" ); document.write( " $\"1%2F10%2B9D=1\"$
\n" ); document.write( " $\"9D=1-1%2F10\"$
\n" ); document.write( " $\"9D=9%2F10\"$
\n" ); document.write( " $\"D=1%2F10\"$
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\n" ); document.write( ".
\n" ); document.write( " $\"x%5E2%2F40%2By%5E2%2F10=1\"$
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.\r
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