Algebra.Com's Answer #823534 by ikleyn(52788)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( "A point P(x,y) moves in such a way that its distance from (3,2) is always
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document.write( "one half of its distance from (-1,3). find the equation of the locus
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document.write( "Write an equation as you read the problem\r\n" );
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document.write( "  =  .\r\n" );
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document.write( "Square both side\r\n" );
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document.write( " (x-3)^2 + (y-2)^2 =  .( (x+1)^2 + (y-3)^2 )\r\n" );
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document.write( "Simplify it step by step\r\n" );
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document.write( " 4 * ( (x-3)^2 + (y-2)^2 ) = (x+1)^2 + (y-3)^2\r\n" );
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document.write( " 4*(x^2 - 6x + 9 + y^2 -4y + 4) = x^2 + 2x + 1 + y^2 - 6y + 9\r\n" );
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document.write( " 4x^2 - 24x + 36 + 4y^2 - 16y + 16 = x^2 + 2x + 1 + y^2 - 6y + 9\r\n" );
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document.write( "The further simplification is routine bothering calculations, from which you will learn NOTHING. \r\n" );
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document.write( "It is a standard completing the square procedure.\r\n" );
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document.write( "So I will complete by referring to specialized online calculator\r\n" );
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document.write( "https://www.equationcalc.com/conics-section-calculator\r\n" );
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document.write( "Copy/paste the last equation to this calculator input port and get there the answer: final equation is \r\n" );
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document.write( "  +  =  .\r\n" );
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document.write( "It is the standard form equation of the circle with the center at the point ( , ) with the radius of  .\r\n" );
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document.write( "Solved.\r
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document.write( "It is really BAD problem to learn from.\r
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document.write( "My condolences . . . \r
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document.write( "Would somebody asked me about an educational value of this problem, I'd say it is zero.\r
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