SOLUTION: The difference between a number and it's reciprocal is 7/12. Find the number. Please Help. Thank you.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The difference between a number and it's reciprocal is 7/12. Find the number. Please Help. Thank you.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 102679: The difference between a number and it's reciprocal is 7/12. Find the number.
Please Help. Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between a number and it's reciprocal is 7/12. Find the number.
----------------------
EQUATION
x - 1/x = 7/12
Multiply thru by 12x
12x^2 -12 = 7x
12x^2 -7x -12 = 0
x = [7 +- sqrt(625)]/24
x = [7 +- 25]/24
x = 32/24 = 4/3 or x = -3/4
======================================================
Cheers,
Stan H>