SOLUTION: Solve for a. (a/x)^3 + (b/x) = c

Algebra.Com
Question 1208662: Solve for a.

(a/x)^3 + (b/x) = c

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Solve for a.
(a/x)^3 + (b/x) = c
~~~~~~~~~~~~~~~~~~~

You start from

     +  = c.


    As your starting equation is written in this form, 
    it is assumed implicitly that x =/=0.


Isolate the term with "a" in the left side

     = c - .


Since left side is the fraction, write right side as a fraction, too

     = .


It is the same as 

     = .


Multiply both sides by  

     =  = 


Now take cube roots of both sides

    a =  .


It is the desired expression for "a".

Solved.



RELATED QUESTIONS

Solve for X, x-a(b+c)/bc + x-b(c+a)/ca + x-c(a+b)/ab... (answered by ankor@dixie-net.com)
a(x+c)=b(x-c) solve for... (answered by mgmoeab)
equation from worksheet a(x+c)=b(x-c) solve for x... (answered by ankor@dixie-net.com)
solve for x ax+bx=c solve for x ax+bx = c x(a+b) = c x = c/(a+b) (answered by chiexpert)
Solve for x. ax + b = c - a(x -... (answered by tommyt3rd)
Solve for b. (x/a) + (x/b)^2 = c (answered by ikleyn)
Solve for x... (answered by math_helper,MathTherapy)
Solve for X, X-a^2/b^2+c^2 + X-b^2/c^2+a^2 +... (answered by mananth)
solve the equation for the indicated variable. a-2[b-3(c-x)]=6; for... (answered by Mathtut)