Lahenda |lambda-1/lambda+1|=1/2quad1/klambda

$$| \frac { \lambda - 1 } { \lambda + 1 } | = \frac { 1 } { 2 } \quad \frac { 1 } { k } \lambda$$

Lahendage ja leidke k

$$k=\frac{\lambda |\lambda +1|}{2|\lambda -1|}$$

$$\lambda \neq 0\text{ and }|\lambda |\neq 1$$

Lahendage ja leidke λ

$$\left\{\begin{matrix}\lambda =\frac{\sqrt{4k^{2}-12k+1}}{2}+k-\frac{1}{2}\text{, }&k\geq \sqrt{2}+\frac{3}{2}\\\lambda =-\frac{\sqrt{4k^{2}-12k+1}}{2}+k-\frac{1}{2}\text{, }&k\geq \sqrt{2}+\frac{3}{2}\text{ or }k<0\\\lambda =-\frac{\sqrt{4k^{2}+12k+1}}{2}-k-\frac{1}{2}\text{, }&k\geq \sqrt{2}-\frac{3}{2}\text{ and }k<0\\\lambda =\frac{\sqrt{4k^{2}+12k+1}}{2}-k-\frac{1}{2}\text{, }&k\neq 0\text{ and }k\geq \sqrt{2}-\frac{3}{2}\end{matrix}\right,$$