Question

if x=3 is one of the root of the equality question x2 - 2kx -6 = 0 , then find the value of k

Answer 1

$heya \: \\ \\ = > x = 3 \: given \\ = > {x}^{2} - 2kx - 6 = 0 \\ = > {3}^{2} - 2k3 - 6 = 0 \\ = > 9 - 6k - 6 = 0 \\ = > 6k = 3 \\ = > k = \frac{3}{6} = \frac{1}{2}$
hope this helps you ☺☺

Answer 2

Hey

Here is your answer,

If x=3 is a root , substitute the value of x in equation,

x^2 -2kx -6=0
(3)^2 -2x kx3 -6=0
9-6k-6=0
3-6k=0
-6k=-3
k=-3/-6
k=1/2

Hope it helps you!