document.write( "Question 1045771: what is the general equation if the locus of a point which moves so that the sum of its distances from point (2,1) and (8,1) is 10? \n" ); document.write( "
Algebra.Com's Answer #661260 by josgarithmetic(39621)\"\" \"About 
You can put this solution on YOUR website!
The way this starts is, \"sqrt%28%28x-2%29%5E2%2B%28y-1%29%5E2%29%2Bsqrt%28%28x-8%29%5E2%2B%28y-1%29%5E2%29=10\".\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28x-2%29%5E2%2B%28y-1%29%5E2%29=10-sqrt%28%28x-8%29%5E2%2B%28y-1%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Square both sides.
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\n" ); document.write( "Notice the expression \"%28y-1%29%5E2\" shown summed on both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-1%29%5E2=100-20%2Asqrt%28%28x-8%29%5E2%2B%28y-1%29%5E2%29%2B%28x-8%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-1%29%5E2-100-%28x-8%29%5E2=-20%2Asqrt%28%28x-8%29%5E2%2B%28y-1%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Square both sides again.
\n" ); document.write( "\"%28%28x-1%29%5E2-%28x-8%29%5E2-100%29%5E2=400%28%28x-8%29%5E2%2B%28y-1%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Not yet finished
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