Solve $$$\lambda^{2} - 3 \lambda t^{2} + t^{4} = 0$$$ for $$$\lambda$$$

The calculator will try to solve the equation $$$\lambda^{2} - 3 \lambda t^{2} + t^{4} = 0$$$ for $$$\lambda$$$ (find the real and complex roots).

Solve the equation $$$\lambda^{2} - 3 \lambda t^{2} + t^{4} = 0$$$ for $$$\lambda$$$.

$$$\lambda = \frac{t^{2} \left(\sqrt{5} + 3\right)}{2}\approx 2.618033988749895 t^{2}$$$A

$$$\lambda = \frac{t^{2} \left(3 - \sqrt{5}\right)}{2}\approx 0.381966011250105 t^{2}$$$A

It seems that there are no complex roots.

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