document.write( "Question 1164770: Find all points on the​ x-axis that are 6 units from the point (2,-3). \n" ); document.write( "
Algebra.Com's Answer #789194 by ikleyn(52781)\"\" \"About 
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document.write( "In a coordinate plane, the points on ​the  x-axis  are the points (x,0) for arbitrary \"x\".\r\n" );
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document.write( "So, the points you are looking for, satisfy this distance equation\r\n" );
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document.write( "    \"sqrt%28%28x-2%29%5E2+%2B+%280-%28-3%29%29%5E2%29\" = 6,\r\n" );
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document.write( "or\r\n" );
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document.write( "    \"sqrt%28%28x-2%29%5E2+%2B+9%29\" = 36.\r\n" );
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document.write( "Square both sides to get\r\n" );
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document.write( "    (x-2)^2 + 9 = 6^2\r\n" );
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document.write( "    (x-2)^2 = 36 - 9\r\n" );
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document.write( "    (x-2)^2 = 27\r\n" );
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document.write( "    x - 2 = \"sqrt%2827%29\" = +/- \"3%2Asqrt%283%29\"\r\n" );
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document.write( "Hence, there are two values for x  \"x%5B1%5D\" = \"2%2B3%2Asqrt%283%29\"  and  \"x%5B2%5D\" = \"2-3%2Asqrt%283%29\".\r\n" );
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document.write( "So, the points are  A = (\"2%2B3%2Asqrt%283%29\",0)  and  B = (\"2-3%2Asqrt%283%29\",0).     ANSWER\r\n" );
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