document.write( "Question 707202: Write the standrad ang general equation of a circle through (2,1) and (3,5) and having its center on the line 8x + 5y = 8.
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Algebra.Com's Answer #435604 by AnlytcPhil(1810) $\"\"$ $\"About$

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Here's another way to do the problem:\r\n" );
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document.write( "Suppose (x,y) is the center of the circle.  Then the distance from\r\n" );
document.write( "(x,y) to (2,1) must equal the distance from (x,y) to (3,5), so\r\n" );
document.write( "we use the diatance formula and set them equal:\r\n" );
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document.write( " = sqrt( (x-3)^2 + (y-5)^2)}}}\r\n" );
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document.write( "(x-2)² + (y-1)² = (x-3)² + (y-5)²\r\n" );
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document.write( "Rearrange to get difference of squares on each side:\r\n" );
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document.write( "(x-2)² - (x-3)² = (y-5)² - (y-1)²\r\n" );
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document.write( "[(x-2)-(x-3)][(x-2)+(x-3)] = [(y-5)-(y-1)][(y-5)+(y-1)]\r\n" );
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document.write( "[x-2-x+3]{x-2+x-3] = [y-5-y+1][y-5+y-1]\r\n" );
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document.write( "[1][2x-5] = [-4][2y-6]\r\n" );
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document.write( "2x-5 = -8y + 24\r\n" );
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document.write( "2x + 8y = 29\r\n" );
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document.write( "So we have the system of equations:\r\n" );
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document.write( "Solve that and get the center, and do the rest like the\r\n" );
document.write( "other solution.\r\n" );
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document.write( "Edwin

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