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.)

Hi6942O Oct 9, 2024

#1**+1 **

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.

ElectricPavlov Oct 10, 2024