document.write( "Question 1092543: Find all of the points on the x-axis which are 2 units from the point (−1, 1).\r
\n" ); document.write( "\n" ); document.write( "Using the 2 points, (-1, 1) and (x, 0)\r
\n" ); document.write( "\n" ); document.write( "I have tried applying the distance formula, which gave me 4 = (-1 - x)^2 + 1, which I simplified to -(sqrt3 + 1), but the problem asks for 2 points, with the smaller and larger x-value. I am not even sure if my initial answer is the correct answer for one of the two points.
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Algebra.Com's Answer #707164 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
You were fine until the (-1-x)^2 part. That is 1+2x+x^2.
\n" ); document.write( "x^2+2x-3=0
\n" ); document.write( "(x+3)(x-1)=0
\n" ); document.write( "x=-3, 1
\n" ); document.write( "The other way is to look just at the x-coordinate, -1. Go two units up to +1, so (1, 1). Go two units down to -3, so (-3, 1).
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