SOLUTION: The sum of a number and its reciprocal is 37/6. Find the number.

Question 1156496: The sum of a number and its reciprocal is 37/6. Find the number.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let's a number be
then and its reciprocal is
if the sum of a number and its reciprocal is , we have

.....cross multiply

.......use quadratic formula

solutions:
=>=>
or
=>=>

so, your number is and its reciprocal is
or your number is and its reciprocal is

Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

The sum of a number and its reciprocal is 37/6. Find the number.

Let the numbers be N
Then we get:
------ Multiplying by LCD, 6N

6N(N - 6) - 1(N - 6) = 0
(6N - 1)(N - 6) = 0
6N - 1 = 0 or N - 6 = 0

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