When two curves intersect they have the same x and y values This
means that given the equations of the curves, we can solve them like
simultaneous equations to find the points of intersection.
Example: Find the points of intersection of the curve
(1)
and
(2).
The curve and the line are illustrated below.
We can put (1)=(2) to get
and
multiply throughout by
to
clear all the fractions.
Subtract
3 from both sides, factorise and solve.
so
or
If
then
from (2)
and
if
then
from (2)
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