SOLUTION: If{{{x=sqrt(sqrt(a/b)-sqrt(b/a))}}} prove that {{{(2a)sqrt(1+x^2)/(x+sqrt(1+x^2))=a+b}}}

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Question 1132586: If prove that
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Sorry that's not true.

Here is a case where it's false:

suppose a=2, b=1, then

 



Putting the right side in your calculator you get

x=0.8408964153

Then a=2, b=1 and x=0.8408964153





Putting that in your calculator gives



which is clearly false.

Edwin
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Thanks to Edwin, who disproved it and saved my time from spending for nothing.



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