document.write( "Question 740852: What is the center and radius of the circle x^2+y^2-8x-10y+32=0 ? \n" ); document.write( "

Algebra.Com's Answer #852594 by ikleyn(53299) $\"\"$ $\"About$

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\n" ); document.write( "What is the center and radius of the circle x^2+y^2-8x-10y+32=0 ?
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document.write( "x^2 + y^2 - 8x - 10y + 32 = 0,\r\n" );
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document.write( "x^2 + y^2 - 8x - 10y = -32.\r\n" );
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document.write( "Group the terms with x (one group) and y (another group)\r\n" );
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document.write( "(x^2 - 8x) + (y^2 - 10y) = -32.\r\n" );
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document.write( "Complete the squares\r\n" );
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document.write( "(x^2 - 8x + 16) + (y^2 - 10y + 25) = -32 + 16 + 25\r\n" );
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document.write( "(x-4)^2 + (y-5)^2 = 9.\r\n" );
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document.write( "It is the standard equation of the circle of the radius   = 3 \r\n" );
document.write( "with the center at (4,5).\r\n" );
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\n" ); document.write( "\n" ); document.write( "The answer in the post by @lynnlo is incorrect.\r
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