Question

the additive inverse of a number divided by 12 is the same as one less than three times its reciprocal find the number​

Answer 1

Answer:

Step-by-step explanation:

let the required number = x

according to the question,

additive inverse of the  number = -x

condition : -x/12 = 3/x -1

                -x/12 = (3-x)/ x

                - x²    = 36 - 12x

                  x² - 12x +36 = 0

                  x ² -6x- 6x + 36 =0

                  x(x - 6) - 6( x - 6) = 0

                  (x-6)(x-6) = 0

                  x = 6

                  therefore , the number is 6.