Parametric equations for roots

by Big-Daddy
Tags: equations, parametric, roots
Big-Daddy is offline
Feb17-14, 02:23 PM
P: 340
Can I write the parametric equations for the graphs in the following case:

on the x-axis, I want to plot a real number 'b'. On the y-axis, I want to plot the roots (all real roots) for x of the equation (7+b2)x3+(6-b)x2+9x-6=0. e.g. when b=1, I plot 1 on the x-axis and x=0.46124674 (the real root of the equation 8x^3+5x^2+9x-6=0) on the y-axis.

(I chose the coefficients on the cubic pretty much arbitrarily but I want to see how it's done.)
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Stephen Tashi
Stephen Tashi is offline
Feb22-14, 09:32 AM
Sci Advisor
P: 3,175
Quote Quote by Big-Daddy View Post
Can I write the parametric equations for the graphs in the following case:
I suggest that you plot a graph of the curves involved in that example and post it. Maybe that will inspire someone to comment on the general situation.

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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