SOLUTION: If {{{(a+b)^(1/2)=(a-b)^(-1/2)}}}, which of the following must be true?
a) b=0
b) a+b=1
c) a-b=1
d) a^2+b^2=1
e) a^2-b^2=1
Algebra.Com
Question 23389: If , which of the following must be true?
a) b=0
b) a+b=1
c) a-b=1
d) a^2+b^2=1
e) a^2-b^2=1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sqrt(a+b) = 1/sqrt(a-b)
Multiply both sides by sqrt(b-a) to get:
sqrt(a^2-b^2)=1
Square both sides to get a^2-b^2=1
Cheers,
stan H.
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