Question

x = 3 is a solution of the quadratic equation (k + 2)x² − kx + 6 = 0, then other root is ______.

Options

• 1

• 3

• −3

• −4

Answer 1

x = 3 is a solution of the quadratic equation (k + 2)x² − kx + 6 = 0, then other root is −4.

Explanation:

`(K + 2)x^2 - Kx + 6 = 0`     ...(1)

Substituting x = 3 in equation (1), we get

`(K + 2) (3)^2 - K(3) + 6 = 0`

`:. 9(K +2) - 3K + 6 = 0`

`:. 9K + 18 - 3k + 6 = 0`

`:. 6k + 24 = 0`

`:. K= -4`