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I have a very weird solution; you probably won't like it but I'll have a go anyway.
Then because .
We find (just). It follows that since the quadratic function is strictly increasing for positive x.
The LHS is and so we are done.
Hm... I really cannot solve it, I have a vague memory of how I solved it last time but now I don't have a good clue of how...
Sorry, that didn't help me..
How to do this?