Question

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

Answer 1

x = -1 or x = -3

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