SOLUTION: A student has drawn accurately the hyperbola xy=12. What straight line must be drawn to meet this hyperbola, so that the coordinates of their points of intersection would solve x^2

Algebra ->  Linear-equations -> SOLUTION: A student has drawn accurately the hyperbola xy=12. What straight line must be drawn to meet this hyperbola, so that the coordinates of their points of intersection would solve x^2      Log On


   

Question 1128591: A student has drawn accurately the hyperbola xy=12. What straight line must be drawn to meet this hyperbola, so that the coordinates of their points of intersection would solve x^2 +4x-12=0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
xy=12
y=12%2Fx


x%5E2%2B4x-12=0
%28x%2B6%29%28x-2%29=0
-
x=-6%2Cor%2Cx=2

Corresponding intersection points:
(-6,-2) and (2, 6).

The line for these points:
slope %286-%28-2%29%29%2F%282-%28-6%29%29=1;
y-6=x-2
highlight_green%28y=x%2B4%29


graph%28400%2C400%2C-8%2C8%2C-8%2C8%2C12%2Fx%2Cx%2B4%29