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point of intersections of 2 curves y 1/2 x3 + x2 +1 and y 9x2 - 57/2 x + 1

Customer Question

point of intersections of 2 curves
y= 1/2 x3 + x2 +1 and
y= 9x2 - 57/2 x + 1
Submitted: 5 years ago.
Category: Homework
Expert:  Tom replied 5 years ago.

Hello and welcome to JustAnswer,

 

The points of intersection can be found for those values x when:

1/2 x³ + x² + 1 = 9x² - 57/2 x +1

=> 1/2 x³ - 8x² + 57/2x = 0

=> x (x² - 4x + 57) = 0

=> x = 0 (this is the only solution, since x²-4x+57 is greater than 0 for every x)

 

So there is 1 point of intersection for these 2 curves: the point (0,1)

 

Let me know if anything is unclear, otherwise please don't forget to click the "Accept"-button.

 

Best regards,

 

Tom

Tom and 3 other Homework Specialists are ready to help you
Customer: replied 5 years ago.
In the example that comes with this problem there is 3 points on the curve and not only 1 point
Expert:  Tom replied 5 years ago.
THIS ANSWER IS LOCKED!

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