document.write( "Question 778523: 1) Show that there are two points of intersection of the hyperbola, with equation y= -8/x and the line y= -2x + 6, and hence find them. \n" ); document.write( "

Algebra.Com's Answer #474769 by lwsshak3(11628) $\"\"$ $\"About$

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Show that there are two points of intersection of the hyperbola, with equation y= -8/x and the line y= -2x + 6, and hence find them.
\n" ); document.write( "***
\n" ); document.write( "-8/x=-2x+6
\n" ); document.write( "-8=-2x^2+6x
\n" ); document.write( "2x^2-6x-8=0
\n" ); document.write( "x^2-3x-4=0
\n" ); document.write( "(x-4)(x+1)=0
\n" ); document.write( "x=4,-1
\n" ); document.write( "y=-8/x
\n" ); document.write( "y=-2,8
\n" ); document.write( "points of intersection: (4,-2) and (-1,8) \n" ); document.write( "

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