Question Number 9861 by Raja Naik last updated on 09/Jan/17
$$\mathrm{find}\:\:\lambda\:\mathrm{value}\:\mathrm{in}\:\lambda^{\mathrm{2}} −\mathrm{4}\lambda−\mathrm{13}=\mathrm{0} \\ $$
Answered by FilupSmith last updated on 09/Jan/17
$$\lambda=\frac{\mathrm{4}\pm\sqrt{\mathrm{16}+\mathrm{4}\left(\mathrm{13}\right)}}{\mathrm{2}} \\ $$$$\lambda=\frac{\mathrm{4}\pm\sqrt{\mathrm{68}}}{\mathrm{2}} \\ $$$$\lambda=\frac{\mathrm{4}\pm\mathrm{2}\sqrt{\mathrm{17}}}{\mathrm{2}} \\ $$$$\lambda=\mathrm{2}\pm\sqrt{\mathrm{17}} \\ $$