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Parametric equations for roots 
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#1
Feb1714, 02:23 PM

P: 343

Can I write the parametric equations for the graphs in the following case:
on the xaxis, I want to plot a real number 'b'. On the yaxis, I want to plot the roots (all real roots) for x of the equation (7+b^{2})x^{3}+(6b)x^{2}+9x6=0. e.g. when b=1, I plot 1 on the xaxis and x=0.46124674 (the real root of the equation 8x^3+5x^2+9x6=0) on the yaxis. (I chose the coefficients on the cubic pretty much arbitrarily but I want to see how it's done.) 


#2
Feb2214, 09:32 AM

Sci Advisor
P: 3,297

I'm guessing that your are interested in the general question of whether the roots of a polynomial equation can be expressed as functions of the coefficients of the equation. 


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