document.write( "Question 778293: Show that there is one point of intersection of the hyperbola y= 1/x-2, and the line y = -x. \n" ); document.write( "

Algebra.Com's Answer #474527 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Show that there is one point of intersection of the hyperbola y= 1/x-2, and the line y = -x.
\n" ); document.write( " $\"%281%2Fx%29-2=-x\"$
\n" ); document.write( " $\"1-2x=-x%5E2\"$
\n" ); document.write( "x^2-2x+1=0
\n" ); document.write( "(x-1)^2=0
\n" ); document.write( "x=1(multiplicity 2)
\n" ); document.write( "y=-1
\n" ); document.write( "point of intersection: (1,-1) \n" ); document.write( "

\n" );