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Quadratic Equation and Inequalities question

2009 · Shift 2 · Q30

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JEE Advanced
Mathematics
Quadratic Equation and Inequalities
2009 · Shift 2 · Q30

Quadratic Equation and Inequalities question

2009 · Shift 2 · Q30

JEE AdvancedMathematicsQuadratic Equation and InequalitiesNumerical+3 / −1

The smallest value of

k

, for which both the roots of the equation

{x^2} - 8kx + 16\left( {{k^2} - k + 1} \right) = 0

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

Numerical answer

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