Respuesta :

cosmicctrl

Answer:

A= -14/4

Step-by-step explanation:

[tex]f(x) = 2 {x}^{3} +a {x}^{2} + 4x - 5[/tex]

[tex]f(2) = 2 \times {2}^{3} +a \times {2}^{2} + 4 \times 2 - 5 \\ 5 = 16 + 4a + 8 - 5 \\ 5 = 19 + 4a \\ 4a = 5 - 19 \\ 4a = - 14 \\ a = - \frac{14}{4} [/tex]