the additive inverse of a number divided by 12 is the same as one less than three times its reciprocal find the another number
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2
Step-by-step explanation:
the additive inverse of a number divided by 12 is the same as one less than three times its reciprocal .
let the no be x
→ x/12( = 3(12/x )-1
→ x / 12= 36 /x - 1
→ x/12= 36 - x /x
→ x² = 12(36 - x )
→ x² = 432 - 12x
→ x² + 12x - 432
factorize it and uh will get ur answer
Answered by
3
Step-by-step explanation:
Let the number = x
Then its additive inverse = -x
-x/12 + 1 = 3/x
x/12 - 1 + 3/x = 0
x²/12 - x + 3 = 0
x² - 12x + 36 = 0
(x - 6)² = 0
x = 6
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