1. Nov 9, 2011 #1

   Ashu2912

   

   Can anyone tell me how to calculate the discriminant of a general equation of 2 degree in 2 variables, ax[itex]^{2}[/itex]+by[itex]^{2}[/itex]+2gx+2fy+2hxy+c=0? Thanks!!!

    

   Ashu2912, Nov 9, 2011
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3. Nov 10, 2011 #2

   Stephen Tashi

   

   Science Advisor

   I've never seen a textbook that defined the descriminant for a polynomial of two variables. How do your materials define it?

    

   Stephen Tashi, Nov 10, 2011
4. Nov 10, 2011 #3

   Ashu2912

   

   In my text it is defined as abc+2gfh-a(f sq.)-b(g sq.)-c(h sq.). I just want to know how is it derived and what is it's significance and implication....

    

   Ashu2912, Nov 10, 2011
5. Nov 10, 2011 #4

   Stephen Tashi

   

   Science Advisor

   What is the title of your text?
   
   Wolfram has a page on the discriminant of a quadratic curve and it gives a different formula:
   http://mathworld.wolfram.com/QuadraticCurveDiscriminant.html

    

   Stephen Tashi, Nov 10, 2011

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