document.write( "Question 268997: The coordinates of the point have equal absolute value, the point is in the second quadrant, and the distance of the point from the origin is 2 \n" ); document.write( "

Algebra.Com's Answer #197140 by drk(1908) $\"\"$ $\"About$

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This is Pythagorean theorem in disguise. We use
\n" ); document.write( " $\"a%5E2+%2B+b%5E2+=+c%5E2\"$
\n" ); document.write( "we know that c = 2 and that a = b because the absolute values are equal. Since we are in quadrant II one of the signs will be positive and the other will be negative. We get
\n" ); document.write( " $\"a%5E2+%2B+a%5E2+=+2%5E2\"$
\n" ); document.write( "or
\n" ); document.write( " $\"2a%5E2+=+4\"$
\n" ); document.write( "divide by 2 to get
\n" ); document.write( " $\"a%5E2+=+2\"$
\n" ); document.write( "take a square root to get
\n" ); document.write( " $\"x+=+sqrt%282%29\"$
\n" ); document.write( "Our coordinate is
\n" ); document.write( "(-sqrt(2), +sqrt(2)) \n" ); document.write( "

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