the sum of six timesa number and four times the reciprocal of same number is 14.find the number

Answer 1

6 n + 4/n = 14 ???

6 n^2 + 4 = 14 n

6 n^2 - 14 n + 4 = 0

3 n^2 - 7 n + 2 = 0

(3n-1)(n-2)= 0
n = 1/3 or 2
which do you think?
Hint - try 2
then try 1/3 :)

Answer 2

i think it is like this way
let one number be x
and its reciprocal be 1/x
6x + 4/x = 14
since x is down i multiply it throughout the equation
like this way
x X 6x + x X 4/x = 14
then the equation is like this
6x2 + 4 = 14x
6x2 + 14x = 4
then we have to do factorisation method and i got answer that is
x=2/6 x=2
its a ssc sum