document.write( "Question 876661: help me find the standard equation of the circle passing thru the point (-3,1) and containing the points of intersection of the circles x^2 + y^2 + 5x = 1 & x^2 + y^2 + y = 7. The soln: (x+5/9)^2 + (y+7/18)^2 = 569/100. thank you! \n" ); document.write( "
Algebra.Com's Answer #528959 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
help me find the standard equation of the circle passing thru the point (-3,1) and containing the points of intersection of the circles x^2 + y^2 + 5x = 1 & x^2 + y^2 + y = 7. The soln: (x+5/9)^2 + (y+7/18)^2 = 569/100. thank you!
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document.write( "That is not the correct solution:\r\n" );
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document.write( "That's because \"%28x%2B5%2F9%29%5E2+%2B+%28y%2B7%2F18%29%5E2+=+569%2F100\" \r\n" );
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document.write( "does not pass through (-3,1)\r\n" );
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document.write( "Substitute x=-3, y=1 in \r\n" );
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document.write( "\"%28x%2B5%2F9%29%5E2+%2B+%28y%2B7%2F18%29%5E2+=+569%2F100\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28-3%2B5%2F9%29%5E2+%2B+%281%2B7%2F18%29%5E2+=+569%2F100\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28-27%2F9%2B5%2F9%29%5E2+%2B+%2818%2F18%2B7%2F18%29%5E2+=+569%2F100\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28-22%2F9%29%5E2+%2B+%2825%2F18%29%5E2+=+569%2F100\"\r\n" );
document.write( "\r\n" );
document.write( "\"484%2F81+%2B+625%2F324+=+569%2F100\"\r\n" );
document.write( "\r\n" );
document.write( "\"1936%2F324%2B625%2F324%29=+569%2F100\"\r\n" );
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document.write( "\"2561%2F324+=+589%2F100\"\r\n" );
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document.write( "Since the answer given above doesn't pass through (-3,1),\r\n" );
document.write( "there has to be a typo somewhere.  Check the problem\r\n" );
document.write( "again very carefully for a sign error or some other small\r\n" );
document.write( "error.  Type it very carefully in the thank-you note, and I'll \r\n" );
document.write( "get back to you.\r\n" );
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document.write( "Edwin
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