If the equation x² - kx + 9 = 0 does not posses real roots, then
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If the equation x² - kx + 9 = 0 does not posses real roots, then D<0
b^2 -4ac < 0
K^2 - 4×1×9 < 0
K^2 - 36 < 0
K^2 < 36
k < ± 6
so k< +6
k > -6 ( as -6 is lesser than 0)
-6 < k < +6
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