Question Number 101243 by Dwaipayan Shikari last updated on 01/Jul/20

Find the solution     xa^(1/x) +(1/x)a^x =2a   a∈{−1,0,1}   and also find when a  is not given

Commented bymr W last updated on 01/Jul/20

for a>0:  x=1 is the only solution.

Commented bymr W last updated on 01/Jul/20

a=−1:  x(−1)^(1/x) +(((−1)^x )/x)=−2  ⇒x=1    a=0:  ⇒x∈R−{0}    a=1:  x+(1/x)=2  ⇒x=1

Commented byDwaipayan Shikari last updated on 01/Jul/20

You are right sir. Can you find when a is not given