Question

If one root of the quadratic equation 3x² − kx − 2 = 0 is 2, find the value of ‘K’.

Answer 1

Given:

3x² − kx − 2 = 0

One root is given as x = 2.

Substitute x = 2 in the equation:

3(2)² − k(2) − 2 = 0

12 − 2k − 2 = 0

10 − 2k = 0

2k = 10

k = 5