# SOLUTION: My problem is: Determine those real numbers a for which the opposite of a is the same as the reciprocal of a. I am wondering if a*1/a=1/a*a=1 would be an appropriate answer or

Algebra ->  Algebra  -> Inverses -> SOLUTION: My problem is: Determine those real numbers a for which the opposite of a is the same as the reciprocal of a. I am wondering if a*1/a=1/a*a=1 would be an appropriate answer or       Log On

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 Algebra: Inverse operations for addition and multiplication, reciprocals Solvers Lessons Answers archive Quiz In Depth

 Question 323071: My problem is: Determine those real numbers a for which the opposite of a is the same as the reciprocal of a. I am wondering if a*1/a=1/a*a=1 would be an appropriate answer or not.Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website!The opposite of a would be -a. The reciprocal of a would be 1/a. The question says to find all values of a such that -a=1/a Multiply both sides by a: -a*a=(1/a)*a -a^2 =1 Add a^2 to each side: 0=a^2+1 Or, rewrite this as a^2=-1. There are NO REAL VALUES of a for which a^2=-1. NO SOLUTION!! Dr. Robert J. Rapalje, Retired Seminole State College of Florida Altamonte Springs Campus