SOLUTION: What are the coordinates of the points where the graphs of $f(x)=x^3-x^2+x+1$ and $g(x)=x^3+x^2+x-1$ intersect?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: What are the coordinates of the points where the graphs of $f(x)=x^3-x^2+x+1$ and $g(x)=x^3+x^2+x-1$ intersect?      Log On


   

Question 1114070: What are the coordinates of the points where the graphs of $f(x)=x^3-x^2+x+1$ and $g(x)=x^3+x^2+x-1$ intersect?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=g(x) for their y-coordinates to be equal.

x%5E3-x%5E2%2B1=x%5E3%2Bx%5E2-1
-x%5E2%2B1=x%5E2-1
2=2x%5E2
x%5E2=1
x=-1, and x=1
-
For x=-1,
y=-1%2B1-1-1
y=-1
-
For x=1,
y=1%2B1%2B1-1
y=2
-
The two intersection points are (-1,-1) and (1,2).