Solve $$$\left(1 - \lambda\right) \left(\lambda^{2} - 3 \lambda - 1\right) = 0$$$ for $$$\lambda$$$

Solve the equation $$$\left(1 - \lambda\right) \left(\lambda^{2} - 3 \lambda - 1\right) = 0$$$ for $$$\lambda$$$.

Real roots

$$$\lambda = 1$$$A

$$$\lambda = \frac{3}{2} - \frac{\sqrt{13}}{2}\approx -0.302775637731995$$$A

$$$\lambda = \frac{3 + \sqrt{13}}{2}\approx 3.302775637731995$$$A

Complex roots

It seems that there are no complex roots.