If both the roots of the quadratic equation ${x^2} - 2kx + {k^2} + k - 5 = 0$ are less than 5, then $k$ lies in the interval

Question

$\left( {5,6} \right]$

$\left( {6,\,\infty } \right)$

$\left( { - \infty ,\,4} \right)$

$\left[ {4,\,5} \right]$

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