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avatar+129 

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.)

 
 Sep 22, 2024
 #1
avatar+37084 
+2

Where they intersect, they are equal :

x^3 + x^2 -3x + 5   =  x^3 + 2x^2 

                            0 = x^2 +3x-5 

                                Use quadratic formula to find x = 1.193   and  -4.193 

                                           Use these values in either of the equations to find the corresponding y =  4.54   and -38.54 

 Sep 22, 2024

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