SOLUTION: If (a+b)^(1/2)=(a-b)^(-1/2), which of the following must be true? b=0 a+b=1 a-b=1 a^2+b^2=1 a^2-b^2=1

Algebra ->  Square-cubic-other-roots -> SOLUTION: If (a+b)^(1/2)=(a-b)^(-1/2), which of the following must be true? b=0 a+b=1 a-b=1 a^2+b^2=1 a^2-b^2=1      Log On


   

Question 659410: If (a+b)^(1/2)=(a-b)^(-1/2), which of the following must be true?
b=0
a+b=1
a-b=1
a^2+b^2=1
a^2-b^2=1
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2Bb%29%5E%281%2F2%29+=+%28a-b%29%5E%28-1%2F2%29%29
...
sqrt%28a%2Bb%29%5E2+=+1%2F%28a-b%29%5E%281%2F2%29
..
a%2Bb+=+1%2F%28sqrt%28a-b%29%5E2%29
...
%28a%2Bb%29+=+1%2F%28a-b%29
...
(a+b)(a-b) = 1
a%5E2-ab%2Bab-b%5E2%29+=+1
...
highlight_green%28%28a%5E2-b%5E2%29=1%29
.....................
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