Solve
[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 .
  Now that you know t=4 is a solution you can take (t-4) common from t^3-t-60=0
• 10 years agoHelpfull: Yes(7) No(6)
• there should be minus between the two expression.
  put x=4^9
• 10 years agoHelpfull: Yes(6) No(3)
• 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
• 6 years agoHelpfull: Yes(1) No(0)
• tk x^1/9 as t and solve u will get t=4
• 10 years agoHelpfull: Yes(0) No(0)
• Please explain..
• 10 years agoHelpfull: Yes(0) No(0)
• not understand this.....my equation comes t +t^3=60....bt no number satify this...
  
• 10 years agoHelpfull: Yes(0) No(0)
• The problem has 3 solutions one real solution and two imaginary solutions.
  Since the question is X^(1/3)+X^(1/9)=6,the corresponding solutions are
  X=177222.7202,
  X=235118.6399±39797.08163i
• 10 years agoHelpfull: Yes(0) No(0)
• The problem has 3 solutions one real solution and two imaginary solutions.
  Since the question is X^(1/3)+X^(1/9)=60,the corresponding solutions are
  X=177222.7202,
  X=235118.6399±39797.08163i
• 10 years agoHelpfull: Yes(0) No(0)