document.write( "Question 965296: The sides of a square are parallel to the coordinate axes. Its vertices lie on the circle of radius 5 whose center is at the origin. Find coordinates for the four vertices of this square.
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Algebra.Com's Answer #590015 by Fombitz(32388)\"\" \"About 
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The square is centered about the origin.
\n" ); document.write( "The vertex makes an angle of 45 degrees to the x-axis so it lies on the line \"y=x\"
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\n" ); document.write( "Substituting,
\n" ); document.write( "\"x%5E2%2By%5E2=25\"
\n" ); document.write( "\"x%5E2%2Bx%5E2=25\"
\n" ); document.write( "\"2x%5E2=25\"
\n" ); document.write( "\"x%5E2=25%2F2\"
\n" ); document.write( "\"x=5%2Fsqrt%282%29\"
\n" ); document.write( "\"y=%285sqrt%282%29%29%2F2\"
\n" ); document.write( "So the coordinates are,
\n" ); document.write( "(\"%28+5sqrt%282%29%29%2F2+\",\"%285sqrt%282%29%29%2F2\")
\n" ); document.write( "(\"%28-5sqrt%282%29%29%2F2\",\"%285sqrt%282%29%29%2F2\")
\n" ); document.write( "(\"%28-5sqrt%282%29%29%2F2\",\"%28-5sqrt%282%29%29%2F2\")
\n" ); document.write( "(\"%285sqrt%282%29%29%2F2\",\"%28-5sqrt%282%29%29%2F2\")
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