Question

Sabiendo que: x2 + 5x + 3 = 0 Hallar: K = (x + 1)(x + 2)(x + 3)(x + 4) + 6 a) 6 b) 7 c) 8 d) 9 e) 10

Answer 1

Respuesta:

K = 9

Explicación paso a paso:

Dato:

x² + 5x + 3 = 0

x² + 5x = -3

Agrupamos K:

K = (x + 1)(x + 2)(x + 3)(x + 4) + 6

K = (x + 1)(x + 4)(x + 2)(x + 3) + 6

Operamos (x + 1).(x + 4) y (x + 2)(x + 3) :

K = (x² + 5x + 4)(x² + 5x + 6) + 6

Reemplazamos: x² + 5x = -3 :

K = ( -3 + 4)( -3 + 6) + 6

K = (1)(3) + 6

K = 3 + 6

K = 9

⬦ Alternativa d) 9 ⬦