I guess there are infinite solutions
There are infinite solutions to this question . will come up with a proof in some days
....................(1) x>x1 y>y1 z>z1
For proving this use the fact
together with (x,y,z) ...(Try it, I shall give it if u can't).
This proved suffices the case for x=y=z=1, by virtue of (1) above...
Thus no solutions exist!
So you are trying to say there exists no x,y,z satisfying the equation ?!?!?!?!
but dude you have taken x= y=z when given that
@ Abhinav, according to the qsn, x,y,z are naturals, since when did 1/15 become a natural no.....?
Rudra, go ahead with ur solution.....
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