Question 881641
{{{a/b+b/a=6}}}



{{{(a/b+b/a)^2=6^2}}}



{{{(a/b)^2+2*(a/b)*(b/a)+(b/a)^2=6^2}}}



{{{(a/b)^2+(2ab)/(ab)+(b/a)^2=6^2}}}



{{{(a/b)^2+2+(b/a)^2=6^2}}}



{{{(a^2)/(b^2)+2+(b^2)/(a^2)=36}}}



{{{(a^2)/(b^2)+(b^2)/(a^2)=36-2}}}



{{{(a^2)/(b^2)+(b^2)/(a^2)=34}}}



So the answer is <font color="red">(b) 34</font>