document.write( "Question 1209063: Find all points having a y-coordinate of -6 whose distance from the point (1,2) is 17. \r
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Algebra.Com's Answer #847636 by mccravyedwin(406)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The green line is the set of all points having a y-coordinate of 6.\r\n" );
document.write( "The green circle, with center (1,2) and radius 17, is the set of all points\r\n" );
document.write( "whose distance from point (1,2) is 17.  So the 2 points they have in common\r\n" );
document.write( "are the only two points having both properties.  So the answer will be those\r\n" );
document.write( "two points.\r\n" );
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document.write( "B is 6 units above the x-axis and A is 2 units above the x-axis, so the\r\n" );
document.write( "distance AB = 6-2 = 4.\r\n" );
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document.write( "We have AB=4 and AC=17, \"BC=sqrt%28AC%5E2-AB%5E2%29=sqrt%2817%5E2-4%5E2%29=sqrt%28289-16%29=sqrt%28273%29\".\r\n" );
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document.write( "B is 1 unit farther to the right of the y-axis, so is C, and therefore\r\n" );
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document.write( "\"C=%28matrix%281%2C3%2C1%2Bsqrt%28273%29%2C%22%2C%22%2C6%29%29\"\r\n" );
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document.write( "That makes C' one unit less to the left of the y-axis, so\r\n" );
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document.write( "\"%22C%27%22=%28matrix%281%2C3%2C1-sqrt%28273%29%2C%22%2C%22%2C6%29%29\" \r\n" );
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document.write( "--------------\r\n" );
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document.write( "Distance formula:\r\n" );
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document.write( "Let the point (x,y) [where y=6, which means the point (x,6)] have distance\r\n" );
document.write( "17 from point (1,2).\r\n" );
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document.write( "Then \r\n" );
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document.write( "\"d=sqrt%28%28x-1%29%5E2%2B%286-2%29%5E2%29\"\r\n" );
document.write( "\"17=sqrt%28x-1%29%5E2%2B4%5E2%29\"\r\n" );
document.write( "\"17=sqrt%28%28x-1%29%5E2%2B16%29\"\r\n" );
document.write( "\"17=sqrt%28%28x-1%29%5E2%2B16%29\"\r\n" );
document.write( "Square both sides:\r\n" );
document.write( "\"289=%28x-1%29%5E2%2B16\"\r\n" );
document.write( "\"273=%28x-1%29%5E2\"\r\n" );
document.write( "\"%22%22+%2B-+sqrt%28273%29=x-1\"\r\n" );
document.write( "\"1+%2B-+sqrt%28273%29=x\"\r\n" );
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document.write( "Thus the two points are \r\n" );
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document.write( "\"%28matrix%281%2C3%2C1%2Bsqrt%28273%29%2C%22%2C%22%2C6%29%29\" and \"%28matrix%281%2C3%2C1-sqrt%28273%29%2C%22%2C%22%2C6%29%29\"\r\n" );
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document.write( "Edwin
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