Question

if x= 3 is one root of the quadratic equation X^2 - 2KX -6 =0 then find the value of k

Answer 1

Given,
x = 3

Then,
x² - 2kx - 6 = 0

Or 3² - 2×k×3 - 6 = 0

Or 9 -6k -6 = 0

Or -6k + 3 = 0

Or -6k = -3

Or k = 1/2

Thus, the value of k is 1/2

Answer 2

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