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I need to find $A+B+C=?$ from $A^{\frac{3}{2}}+B^{\frac{3}{2}}+C^{\frac{3}{2}}= R*D^{\frac{3}{2}}$

I know that I can't use log for this equation.

Do anyone have any ideas of how to do the extraction??

Thanks

iadvd
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Iredi
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  • Are $A,B,C,D,R$ restricted to be integers, positive integers, or what restrictions are there on them if any? – coffeemath Jul 31 '15 at 05:54
  • They are all positive integers – Iredi Jul 31 '15 at 05:56
  • Also it seems you want to have $R,D$ be the same for all cases and are viewing $A,B,C$ as variables. Is that right? – coffeemath Jul 31 '15 at 06:24
  • Yes. I just want to know the expression for A+B+C=..................... – Iredi Jul 31 '15 at 06:32
  • I don't know how to remove the "power" – Iredi Jul 31 '15 at 06:33
  • Iredi: By your last comment do you mean you do not want the $3/2$ to be a power in the equation? [Why would you want to "remove" it?] Or is the last comment referring to your wanting to find a valid math technique to remove the powers? If that's is, there is none which works over sums of separate terms. (See my answer below, I think your equation does not allow determination of the sum A+B+C.) – coffeemath Jul 31 '15 at 06:44

1 Answers1

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In one solution let $A=1,B=144,C=289,$ and in the other let $A=81,B=100,C=289.$ In both cases let $R=246$ and $D=9.$ For both cases then your equation holds, yet for the first one $A+B+C=434$ and for the second one $A+B+C=470.$ So the sum cannot be determined.

coffeemath
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