(X)^1/3-(X)^1/9=60

• Let t=x^1/9 (^ means power raised to);
  so, the given eq changes to..
  t^3 - t =60 ,
  i.e; t(t-1)(t+1)=60
  =3*4*5 ;
  therefore, t=x^1/9=4 ;
  hence, x=4^9 .
• 13 years agoHelpfull: Yes(16) No(8)
• x= 262124= 64^3 , then (X)^1/3-(X)^1/9=60 means 64-4=60
• 13 years agoHelpfull: Yes(2) No(5)
• let us take X=a^9 . Then, ( a^9)^1/3-(a^9)^1/9 =60
  a^9/3-a^9/9=60
  a^3-a=60
  a(a^2-1)=60
  by solving this , a=4
• 5 years agoHelpfull: Yes(2) No(1)