document.write( "Question 1086893: Find the equation of the circle which passes through the points (-3,-4),(2,1), and (-6,5). \n" ); document.write( "
Algebra.Com's Answer #701131 by Fombitz(32388)\"\" \"About 
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Use the general equation of a circle,
\n" ); document.write( "\"x%5E2%2By%5E2%2BAx%2BBy%2BC=0\"
\n" ); document.write( "So for (-3,-4),
\n" ); document.write( "\"%28-3%29%5E2%2B%28-4%29%5E2%2BA%28-3%29%2BB%28-4%29%2BC=0\"
\n" ); document.write( "\"9%2B16-3A-4B%2BC=0\"
\n" ); document.write( "1.\"3A%2B4B-C=25\"
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\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "(2,1):
\n" ); document.write( "\"%282%29%5E2%2B%281%29%5E2%2BA%282%29%2BB%281%29%2BC=0\"
\n" ); document.write( "\"4%2B1%2B2A%2BB%2BC=0\"
\n" ); document.write( "2.\"2A%2BB%2BC=-5\"
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\n" ); document.write( "(-6,5),
\n" ); document.write( "\"%28-6%29%5E2%2B%285%29%5E2%2BA%28-6%29%2BB%285%29%2BC=0\"
\n" ); document.write( "\"36%2B25-6A%2B5B%2BC=0\"
\n" ); document.write( "3.\"6A-5B-C=61\"
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\n" ); document.write( "Eliminate C;
\n" ); document.write( "Add 1 and 2,
\n" ); document.write( "\"2A%2BB%2BC%2B3A%2B4B-C=-5%2B25\"
\n" ); document.write( "\"5A%2B5B=20\"
\n" ); document.write( "4.\"A%2BB=4\"
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\n" ); document.write( "Add 2 and 3,
\n" ); document.write( "\"2A%2BB%2BC%2B6A-5B-C=-5%2B61\"
\n" ); document.write( "\"8A-4B=56\"
\n" ); document.write( "5.\"2A-B=14\"
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\n" ); document.write( "Add 4 and 5 to eliminate B,
\n" ); document.write( "\"A%2BB%2B2A-B=14%2B4\"
\n" ); document.write( "\"3A=18\"
\n" ); document.write( "\"A=6\"
\n" ); document.write( "Now back substitute and find B and C to complete the circle.
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