document.write( "Question 1106555: Find the coordinates of the four points which have integer coordinates and are a distance of 5 from the point (1, 2). Hint: 5 = 12 + 22. \n" ); document.write( "

Algebra.Com's Answer #721554 by Fombitz(32388) $\"\"$ $\"About$

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The circle centered at (1,2) with a radius of 5 is,
\n" ); document.write( " $\"%28x-1%29%5E2%2B%28y-2%29%5E2=5%5E2\"$
\n" ); document.write( "So choose any x and solve for y.
\n" ); document.write( "As an example, $\"x=1\"$ ,
\n" ); document.write( " $\"%281-1%29%5E2%2B%28y-2%29%5E2=5%5E2\"$
\n" ); document.write( " $\"y-2=0+%2B-+3\"$
\n" ); document.write( " $\"y=2+%2B-+3\"$
\n" ); document.write( " $\"y=5\"$ and $\"y=-1\"$
\n" ); document.write( "So,
\n" ); document.write( "(1,5) and (1,-1) are two points.
\n" ); document.write( "Find two more by choosing another value for x.
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