Q89. Let the set of all positive values of $\lambda$, for which the point of local minimum of the function $\left( 1 + x \left( \lambda ^ { 2 } - x ^ { 2 } \right) \right)$ satisfies $\frac { x ^ { 2 } + x + 2 } { x ^ { 2 } + 5 x + 6 } < 0$, be $( \alpha , \beta )$. Then $\alpha ^ { 2 } + \beta ^ { 2 }$ is equal to $\_\_\_\_$\\