nach r auflösen

30/03/2010 - 14:22 von Markus Gronotte | Report spam
Hallo zusammen,


Ich möchte die folgende Gleichung nach r Auflösen.

F=((g)/(r^2))-((g)/((r+x)^2))

Sowohl ich als auch mein Matheprogramm scheitern daran.

Weiß jemand von Euch eine Lösung für r?


Gruß,

Markus
 

Lesen sie die antworten

#1 Steffen Buehler
30/03/2010 - 16:42 | Warnen spam
Markus Gronotte wrote:

Ich möchte die folgende Gleichung nach r Auflösen.

F=((g)/(r^2))-((g)/((r+x)^2))



-1/2*x
+1/18*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*3^(1/2)/
F^(1/3)/
(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)+1/18*(18*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3)*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)-
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)-3*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*x^(10/3)*27^(1/3)*F^(4/3)+324*g*x*3^(1/2)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/2))^(1/2)*3^(1/2)/
F^(1/3)/(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)/
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/4),
-1/2*x
+1/18*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*3^(1/2)/
F^(1/3)/
(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)-1/18*(18*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3)*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)-
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)-3*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*x^(10/3)*27^(1/3)*F^(4/3)+324*g*x*3^(1/2)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/2))^(1/2)*3^(1/2)/
F^(1/3)/(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)/
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/4),
-1/2*x-1/18*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*3^(1/2)/
F^(1/3)/
(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)+1/18*(18*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3)*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)-
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)-3*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*x^(10/3)*27^(1/3)*F^(4/3)-324*g*x*3^(1/2)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/2))^(1/2)*3^(1/2)/
F^(1/3)/(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)/
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/4),
-1/2*x-1/18*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*3^(1/2)/
F^(1/3)/
(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)-1/18*(18*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3)*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)-
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)-3*(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/2)*x^(10/3)*27^(1/3)*F^(4/3)-324*g*x*3^(1/2)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/2))^(1/2)*3^(1/2)/
F^(1/3)/(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/6)/
(27^(2/3)*x^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(2/3)+3*x^(10/3)*27^(1/3)*F^(4/3)+9*x^2*F^(2/3)*(54*g^2+x^4*F^2+6*g*(27*g^2+x^4*F^2)^(1/2)*3^(1/2))^(1/3))^(1/4)

HTH
Steffen

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