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rhermans
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NSolve[ - 8 a^2 x + 9 x^2 -12 x^3 + 4 x^4 == 0, x];
Plot[Evaluate[  x   /.   %  ],    {a, -0.6, 0.6}]

NSolve [ - 8 a ^ 2 x + 9 x ^ 2 - 12 x ^ 3 + 4 x^4 == 0, x]; Plot [ Evaluate [ x /. % ], { a, -0.6 , 0.6 } ]How can I show only positive roots in this plot?

How can I show only positive roots in this plot? This equation is one of the case of Equation (32) given in this paper [https://arxiv.org/pdf/gr-qc/0611110.pdf]this paper.

NSolve [ - 8 a ^ 2 x + 9 x ^ 2 - 12 x ^ 3 + 4 x^4 == 0, x]; Plot [ Evaluate [ x /. % ], { a, -0.6 , 0.6 } ]

How can I show only positive roots in this plot? This equation is one of the case of Equation (32) given in this paper [https://arxiv.org/pdf/gr-qc/0611110.pdf].

NSolve[ - 8 a^2 x + 9 x^2 -12 x^3 + 4 x^4 == 0, x];
Plot[Evaluate[  x   /.   %  ],    {a, -0.6, 0.6}]

How can I show only positive roots in this plot?

This equation is one of the case of Equation (32) given in this paper.

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Emma
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Plot using NSolve

NSolve [ - 8 a ^ 2 x + 9 x ^ 2 - 12 x ^ 3 + 4 x^4 == 0, x]; Plot [ Evaluate [ x /. % ], { a, -0.6 , 0.6 } ]

How can I show only positive roots in this plot? This equation is one of the case of Equation (32) given in this paper [https://arxiv.org/pdf/gr-qc/0611110.pdf].