I took a test a couple of days ago and was stuck on this question... I tried to figure it out but could not... can you help me...
~Question~ The sum of the reciprocal of a number and the reciprocal of 6 less than the number is 7 times the reciprocal of the original number. Find the original number.
Thank you all so much for your help!
jonathon.shine@rogers.com2006-11-07T10:30:31Z
Favorite Answer
let the number be n
reciprocal of n = 1/n
6 less than n = n-6
therefore we have: (1/n) + [1/(n-6)] = 7/n 6/n = 1/(n-6) 6(n-6) = n 6n-36 = n 5n = 36 n = 36/5
Let n be the number then the number plus its reciprocal is 6 less than 7 times its reciprocal:( is that what the words mean?) n+1/n = 7*(1/n)-6 mult by n: n^2+1 = 7 -6n n^2+6n-6=0
Doesn't seem like I translated the statement correctly. Is that a verbatem wording?