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f(x) = 4x³ - x² - kx + 2
f() = 4.(-3/2)³ - (- 3/2)² - k.(- 3/2) + 2 = 0
4.(- 27/8) - (9/4) + (3/2).k + 9/4 = 0
- 27/2 + (3/2) k = 0
(3/2) k = 27/2
k = 27/2 : 3/2
k = 27/2 x 2/3
k = 9