SOLUTION: Show that there is one point of intersection of the hyperbola y= 1/x-2, and the line y = -x.

Algebra ->  Graphs -> SOLUTION: Show that there is one point of intersection of the hyperbola y= 1/x-2, and the line y = -x.       Log On


   

Question 778293: Show that there is one point of intersection of the hyperbola y= 1/x-2, and the line y = -x.
Answer by lwsshak3(11628) About Me  (Show Source):
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.
%281%2Fx%29-2=-x
1-2x=-x%5E2
x^2-2x+1=0
(x-1)^2=0
x=1(multiplicity 2)
y=-1
point of intersection: (1,-1)