document.write( "Question 258575: Find all the points on the x-axis that are 5 units from the point (4,-3) \n" ); document.write( "

Algebra.Com's Answer #190383 by drk(1908) $\"\"$ $\"About$

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THere are at least two ways to solve this. Here is one of them: What we have here is a circle in disguise with center (4,-3) and radius 5. Its equation is
\n" ); document.write( " $\"%28x-4%29%5E2%2B%28y%2B3%29%5E2+=+5%5E2\"$
\n" ); document.write( "since we want coordinates on the x-axis, set y = 0 and solve for x like this
\n" ); document.write( " $\"%28x-4%29%5E2%2B%280%2B3%29%5E2+=+5%5E2\"$
\n" ); document.write( " $\"%28x-4%29%5E2%2B9+=+25\"$
\n" ); document.write( " $\"%28x-4%29%5E2=16\"$
\n" ); document.write( "take a square root to get
\n" ); document.write( "x-4 = +-5
\n" ); document.write( "So,
\n" ); document.write( "x = 9
\n" ); document.write( "OR
\n" ); document.write( "x = -1
\n" ); document.write( "This means that (9,0) and (-1,0) is 5 units from (4,-3) \n" ); document.write( "

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