document.write( "Question 757524: suppose the function f is defined by 2xy-25=0, will the line defined by y=x cut the gragh of f in two points, or the shortest distance from the origin to a pont on the graph of f be 5 units, or will the graph of f be a hyberbola which lies in the first and third quadrants \n" ); document.write( "
Algebra.Com's Answer #460885 by stanbon(75887)\"\" \"About 
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suppose the function f is defined by 2xy-25=0, will the line defined by y=x cut the gragh of f in two points, or the shortest distance from the origin to a pont on the graph of f be 5 units, or will the graph of f be a hyberbola which lies in the first and third quadrants
\n" ); document.write( "--------
\n" ); document.write( "2xy-25=0
\n" ); document.write( "y = x
\n" ); document.write( "-----------------
\n" ); document.write( "y = 25/(2x) = 12.5/x
\n" ); document.write( "y = x
\n" ); document.write( "---
\n" ); document.write( "Solve: x = 12.5/x
\n" ); document.write( "x^2 = 25/2
\n" ); document.write( "x = +-(5/2)sqrt(2
\n" ); document.write( "----
\n" ); document.write( "So you have 2 points of intersection: (-(5/2)sqrt(2),-(5/2)sqrt(2))
\n" ); document.write( "and ((5/2)sqrt(2),(5/2)sqrt(2))
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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