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

• Let X^(1/9)=Y----Then rewriting equation ==>Y^3-Y=60---Y(Y^2-1)=60----Y(Y-1)(Y+1)=60---(Y-1)Y(Y+1)=60---ie Product of 3 consecutive nos,so ----3*4*5=60----Y=4---X^(1/9)=4----X=4^9=262144...
• 15 years agoHelpfull: Yes(7) No(2)
• ans is 4^9
  write x^1/3 as x^1/9. x^1/9. x^1/9. x^1/9(x^2/9 - 1) =60
  use trial and error method.Then x= 4^9.
• 15 years agoHelpfull: Yes(1) No(0)
• x^(1/3)(1-x^(1/3))=4*15
  x^(1/3)=4=>x=4^3=64
  1-x^(1/3)=15=>x^(1/3)=16
  x=16^3=4096
  x=64,4096
• 10 years agoHelpfull: Yes(1) No(2)
• answer is 64
• 10 years agoHelpfull: Yes(1) No(1)
• Even trying it by trial and error method, solution is 262144 (=4^9)
• 15 years agoHelpfull: Yes(0) No(0)