the additive inverse of a number divided by twelve is the same as one less than three times its reciprocal - Maths - Rational Numbers

Question

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

priyanka saggu · Accepted Answer

Let the number be aAcc to the question-a12 = 3a - 1-a12 = 3 -aa-a2 = 36 - 12aa2 -12a + 36 = 0a2 - 6a - 6a +36 = 0a(a - 6) -6(a - 6) = 0(a -6)(a -6) =0a = 6;6So, the number is 6

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