SOLUTION: how do i solve this? a+1 over 2 = 1 over a? Please Help fast as you can!

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Question 76387: how do i solve this? a+1 over 2 = 1 over a? Please Help fast as you can!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for a:
%28a%2B1%29%2F2+=+1%2Fa Multiply both sides by a.
%28a%5E2%2Ba%29%2F2+=+1 Multiply both sides by 2.
a%5E2%2Ba+=+2 Subtract 2 from both sides.
a%5E2%2Ba-2+=+0 Factor this quadratic equation.
%28a-1%29%28a%2B2%29+=+0 Apply the zero product principle.
a-1+=+0 and/or a%2B2+=+0
The roots are:
a+=+1
a+=+-2