document.write( "Question 1164768: Find all points having an​ x-coordinate of 1 whose distance from the point (-3,-2) is 5 \n" ); document.write( "
Algebra.Com's Answer #789193 by ikleyn(52781)\"\" \"About 
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document.write( "In a coordinate plane, the points having an​ x-coordinate of 1 are the points (1,y) for arbitrary \"y\".\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%28%28-3%29-1%29%5E2+%2B+%28-2%29-y%29%5E2%29\" = 5,\r\n" );
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document.write( "or\r\n" );
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document.write( "    \"sqrt%2816+%2B+%28y%2B2%29%5E2%29\" = 5.\r\n" );
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document.write( "Square both sides to get\r\n" );
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document.write( "    16 + (y+2)^2 = 5^2\r\n" );
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document.write( "    (y+2)^2 = 25 - 16\r\n" );
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document.write( "    (y+2)^2 = 9\r\n" );
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document.write( "    y + 2 = \"sqrt%289%29\" = +/- 3\r\n" );
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document.write( "Hence, there are two values for y  \"y%5B1%5D\" = 3 - 2 = 1  and  \"y%5B2%5D\" = -3 - 2 = -5.\r\n" );
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document.write( "So, the points are  A = (1,1)  and  B = (1,-5).     ANSWER\r\n" );
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