document.write( "Question 1163107: The Point P(2,y) equidistant from point F(3,0) and the line with equation
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Algebra.Com's Answer #787097 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The distance from the point P(2,y) to the straight line x = -3/2 is equal to 2 - (-3/2) = 3.5.\r\n" );
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document.write( "The distance between the points  P(2,y) and F(3,0)  is  \"sqrt%28%283-2%29%5E2%2B%280-y%29%5E2%29\" = \"sqrt%281+%2B+y%5E2%29\".\r\n" );
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document.write( "Therefore, the equation to find \"y\" is\r\n" );
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document.write( "    3.5 = \"sqrt%281%2By%5E2%29\",\r\n" );
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document.write( "or, squaring both sides\r\n" );
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document.write( "    3.5^2 = 1 + y^2,\r\n" );
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document.write( "which implies\r\n" );
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document.write( "    y^2 = 3.5^2 - 1,  y = +/- \"sqrt%283.5%5E2-1%29\" = +/- 3.3541 (approximately).     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Be aware (!) The \"solution\" by @josgarithmetic is wrong starting from the first formula / (line).\r
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