x^2+4x-1/x^4-100x^2

Question

x^2+4x-1 divided all over x^4-100x^2

 

 

Please write the form of the partial-fraction decomposition.

 

 

Do not solve for constants ...

 

Use  A,B ,C , and D for the constants

Answer 1

(x²+4x-1)/(x⁴-100x²) = (x²+4x-1)/[x²(x²-100)]

 

                              = (x²+4x-1)/[x²(x-10)(x+10)]

 

                              = A/x + B/x² + C/(x+10) + D/(x-10)