document.write( "Question 894249: Find all points on the x-axis that are 5 units from the point (4,-3) \n" ); document.write( "

Algebra.Com's Answer #541861 by reviewermath(1029) $\"\"$ $\"About$

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Q:
\n" ); document.write( "Find all points on the x-axis that are 5 units from the point (4,-3)
\n" ); document.write( "A:
\n" ); document.write( "We want to find all x such that the distance between the points (x, 0) and (4, -3) is equal to 5.
\n" ); document.write( " $\"sqrt%28%284+-+x%29%5E2+%2B+%28-3+-+0%29%5E2%29+=+5\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"%284+-+x%29%5E2+%2B+%28-3+-+0%29%5E2+=+25\"$
\n" ); document.write( " $\"%284+-+x%29%5E2+=+16\"$
\n" ); document.write( "Get the square root of both sides
\n" ); document.write( "4 - x = 4 or 4 - x = -4
\n" ); document.write( "x = 0 or 8
\n" ); document.write( "The points on the x-axis are (0, 0) and (8, 0). \n" ); document.write( "

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