SOLUTION: if the square root of 2 less than 6 times a number is divided by 2 less than the number, the quotient is 2. find the number.

Algebra ->  Radicals -> SOLUTION: if the square root of 2 less than 6 times a number is divided by 2 less than the number, the quotient is 2. find the number.      Log On


   

Question 390932: if the square root of 2 less than 6 times a number is divided by 2 less than the number, the quotient is 2. find the number.
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
let the no. be n
given
sqrt%286n-2%29%2F%28n-2%29=2
squaring on both sides
we get
6n-2=4n^2-16n+16
=> 2n^2-11n+9=0
=> 2n^2-2n-9n+9=0
=> 2n(n-1)-9(n-1)=0
=> (n-1)(2n-9)=0
so n=1 or n=9/2