Question

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

Answer 1

If x = 3 is a root of the quadratic equation x² – 2kx – 6 = 0, then it will satisfy the given equation.

`=> 3^2 - 2k(3) - 6 = 0`

`=> k = 1/2`