maths - choosing factors to substitute in partial fractions

[Mortal9090]

Hi All,

I know that you have to substitute values of x into the built-up partial fraction in order to get it going and find the relavent values, for examle

A(x)+B(x^2)(2x-1)+c(x^2)

how do you decide what factors to place?

and what factors would be in equation: 100/x^2(10-x)

thanks

 

[ahmed t]

Re: maths - choosing factors to substitute in partial fracti

you may place x=-0.5
and find the rest by coefficient comparison

 

[Mortal9090]

Re: maths - choosing factors to substitute in partial fracti

hmm, so is there any start value,

or the best approach is to detect factors from the denominator, e.g. (2x-1) is 1/2 and so on?

 

[diwash]

Re: maths - choosing factors to substitute in partial fracti

equate 100/x^2(10-x) = A/x + B/x^2 + C/(10-x)