SOLUTION: Determine those real numbers a for which the opposite of a is the same as the reciprocal of a.

Algebra ->  Real-numbers -> SOLUTION: Determine those real numbers a for which the opposite of a is the same as the reciprocal of a.      Log On


   

Question 121435: Determine those real numbers a for which the opposite of a is the same as the reciprocal of a.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The opposite of "a" is "-a".
EQUATION:
-a = 1/a
-a^2 = 1
a^2 = -1
a = i or -i
--------------
There are no Real Numbers which satisfy the condistion.
Cheers,
Stan H.