Question

Value of k for which x = 2 is a solution of the equation 5x² − 4x + (2 + k) = 0, is ______.

Options

• 10

• −10

• 14

• −14

Answer 1

Value of k for which x = 2 is a solution of the equation 5x² − 4x + (2 + k) = 0, is −14.

Explanation:

p(x) = 5x² − 4x + (2 + k)

p(2) = 0

5(2)² − 4(2) + 2 + k = 0

20 − 8 + 2 + k = 0

k = −14