The smallest value of k, for which both the roots of the equation, $x^{2} - 8 k x + 16 (k^{2} - k + 1) = 0$ are real, distinct and have values at least 4, is

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The smallest value of k, for which both the roots of the equation,

x^{2} - 8 k x + 16 (k^{2} - k + 1) = 0

are real, distinct and have values at least 4, is

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Question Text

The smallest value of k, for which both the roots of the equation,

x^{2} - 8 k x + 16 (k^{2} - k + 1) = 0

are real, distinct and have values at least 4, is

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