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:

6

Step-by-step explanation:

let the unknown no. be x

ATP,

-x/12 = {3(1/x)}-1

-x/12 = 3/x -1

-x/12 = (3-1x)/x

-x^2= 36-12x                                         (cross multiplication)

x² - 12x +36 = 0

x ² -6x- 6x + 6*6 =0

(xx -6*x)+(- 6*x (-6)*(-6)) =0

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

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

x-6 = 0/(x-6)

x-6 = 0

x = 6

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