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[tex]P=\lambda^6+(6\beta-.8896)\lambda^5+(8\beta^2-3.5584\beta+6)\lambda^4+(\beta^3-.8896\beta^2+16\beta-3.5584)\lambda^3+(3\beta^2-1.7792\beta+8)\lambda^2+(3\beta-.8896)\lambda+1[/tex]

Stability is determined by the real part of the roots of the this polynomial. Now, I need to vary numerically (matlab) the conditions for [tex]Re(\lambda)[/tex], in other words, I want to plot the real part of the [tex]\lambda[/tex]'s as a function of [tex]\beta[/tex], where [tex]0<\beta<1[/tex] ... How can I do that in matlab? - I tried to use the "solve" command, however, it doesn't even produce an explicit answer.

Thanks!