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Discriminant of a quadratic equation in 2 variables

  1. Nov 9, 2011 #1
    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!!!
     
  2. jcsd
  3. Nov 10, 2011 #2

    Stephen Tashi

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    I've never seen a textbook that defined the descriminant for a polynomial of two variables. How do your materials define it?
     
  4. Nov 10, 2011 #3
    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....
     
  5. Nov 10, 2011 #4

    Stephen Tashi

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