# Quadratic With Inequality Insane Level!

Algebra Level 5

The values of $$k$$ for which the inequality $$\dfrac{x^2+k^2}{k \cdot (x+6)} \geq 1$$ is satisfied by all $$x \in (-1,1)$$ are $$[a, \infty)$$.

Find the value of $$a$$ (round off up to 3 decimal places).

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