Solve Equation C for F: Simple Algebra

  • Context: High School 
  • Thread starter Thread starter roldy
  • Start date Start date
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 1K views
roldy
Messages
206
Reaction score
2
How do I go about solving the following equation in terms of F?

[tex]C=ABF^E-AgF^{E+1}[/tex], where C, A, B, E represent other equations not dependent on F
 
Mathematics news on Phys.org
C=ABF^E - AgF^(E+1)
F^(E+1) - (B/g)F^E + C/(Ag) = 0

If E is a non-negative integer, then this is an algebraic equation of degree E+1 and in general has E+1 solutions.
If E is a negative integer, then this is basically an algebraic equation in 1/F and of degree -E with -E solutions.
In general this equation is not solvable in closed form but you can probably obtain a root using iterations or methods such as Newton's.