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Answer:
given , x=3
quadratic equation ==> x²-2kx-6 = 0
so, putting value of x in quadratic equation
==> (3)²-2k(3)-6 = 0
==> 9-6k-6 = 0
==> 3(3-2k-2) = 0
==> 3-2-2k = 0/3
==> 1-2k = 0
==> -2k = -1
==> k = -1/-2
==> k = 1/2