Question

If x=3 is one of the quadratic equation x2 - 2kx -6=0, then find the value k

Answer 1

Answer:

k = 1/2

Step-by-step explanation:

${x}^{2} - 2kx - 6 = 0 \\ x = 3 \\ {3}^{2} - 2 \times k \times 3 - 6 = 0 \\ 9 - 6k - 6 = 0 \\ 3 - 6k = 0 \\ - 6k = - 3 \\ k = \frac{ - 3}{ - 6} \\ k = \frac{1}{2}$