The sum of a number and 3 times its reciprocal is - 4. Find the number

x = - 1 or x = - 3

Step-by-step explanation:

x + 3/x = - 4

x² + 3 = - 4x

x² + 4x + 3 = 0

(x + 1) (x + 3) = 0

x = - 1 or x = - 3

check: (-1) + (3/-1) = - 1 - 3 = - 4

(-3) + (3 / (-3)) = - 3 - 1 = 14