What are the coordinates of the points where the graphs of f(x)=x^3 + x^2 - 3x + 5 and g(x) = x^3 + 2x^2 intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates are in increasing order. (So "(1,-3), (2,3), (5,-7)" - without the quotes - is a valid answer format.)
Where the graphs intersect, they are equal :
x^3 + x^2 -3x + 5 = x^3 + 2x^2
x^2 -3x + 5 = 2x^2
0 = x^2 +3x -5
Now use Quadratic Formula with a = 1 b = 3 and c = -5 to find x = 1.193 and -4.193
Now use these values of 'x' in either of the equations to find the corresponding 'y' coordinates.