Little algebra problem (puzzle): [a/(ab+a+1) + b/(bc+b+1) + c/(ca+c+1)]^2

[Steven G]

Give this one a try.

Let a, b and c be real numbers such that abc=1. Find the value of

[a/(ab+a+1) + b/(bc+b+1) + c/(ca+c+1)]²

Have fun!

 

[Steven G]

1

1 what? 1 apple, 1 orange, 1 shot of Jack Daniels...

Unless you mean the answer is 1 and in that case you are correct.

Now go and solve my integral. It really is a beautiful solution. Use the hints which will be helpful. https://www.freemathhelp.com/forum/...0-pi-2-sqrt-cot(x)-sqrt-cot(x)-sqrt-tan(x)-dx