The difference between a number and its reciprocal is 3. What are the possible values of the number?
We have the equation: x−1x=3
Solve as follows:
x2x−1x=3
x2−1x=3
x2−1=3x
x2−3x−1=0
Now, just solve the quadratic...
x−1x=3
x=3±√132