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avatar+1855 

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.)

 Apr 2, 2024
 #1
avatar+15078 
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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?

 

Hello ABJelly!

 

x3+x23x+5=x3+2x2x2+3x5=0xf,g=1.5±2.25+5xf,g=12(3±29)xf,g{4.19258, 1.19258}

yg{38.540659,4.540659}So (4.19258,38.540659),(1.19258,4.540659)

 

laugh !

 Apr 2, 2024
edited by asinus  Apr 2, 2024

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