Can a Non-Integer Exponent be Used to Solve a Polynomial Equation?

[NY99]

Not sure if this is the right place but could somebody help me solve the following equation
B.x^b - x - A =0 wher A, B and b are constants.
Thanks

 

[chisigma]

Not sure if this is the right place but could somebody help me solve the following equation
B.x^b - x - A =0 wher A, B and b are constants.
Thanks

Welcome on MHB NY99!...

... if b is integer not exceeding 4, then it exist a procedure for algebraic solutions ... otherwise generally the solutions have to be found numerically ... the same is if b is not an integer...

Kind regards

$\chi$ $\sigma$

 

[NY99]

Thanks for that. Unfortunately b is not an integer so I guess It will have to be numerically solved.