document.write( "Question 1142454: The circle with the equation\r
\n" ); document.write( "\n" ); document.write( "x^2 − 2x + y^2 + 6y = 6\r
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\n" ); document.write( "\n" ); document.write( "1. C = (1, −3) ; r = 4
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Algebra.Com's Answer #763175 by ikleyn(52778)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Apply the standard procedure completing the squares for x- and y- terms separately to transform \r\n" );
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document.write( "the given general equation of the circle into its standard form.\r\n" );
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document.write( "    x^2 − 2x + y^2 + 6y = 6\r\n" );
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document.write( "    (x^2 - 2x + 1) + (y^2 + 6y + 9) = 6 + 1 + 9\r\n" );
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document.write( "    (x - 1)^2 + (y + 3)^2 = 16\r\n" );
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document.write( "    (x - 1)^2 + (y + 3)^2 = 4^2\r\n" );
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document.write( "The circle has the center at the point (1,-3) and the radius of 4.\r\n" );
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document.write( "ANSWER.  The answer is #1.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to learn more about this procedure and associated notions, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Standard equation of a circle\r
\n" ); document.write( "\n" ); document.write( "    - General equation of a circle\r
\n" ); document.write( "\n" ); document.write( "    - Transform general equation of a circle to the standard form by completing the squares \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Conic sections: Ellipses. Definition, major elements and properties. Solved problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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