Determine the value of the co-efficient "B"
F(s)=7s^2+4s+2/(s+1)(s^2+s+5)=(A/s+1)+(Bs+C/s^2+s+5

Question

anonymous · Answer

no one seems to want to do this because it is a pain

anonymous · Answer

you have to write
$$A(x^2+x+5)+(Bx+C)(x+1)=7x^2+4x+2$$ 
then multiply out. then equate like coefficients. then find them

anonymous · Answer

you get $$Ax^2+Ax+5A+Bx^2+Bx+Cx+C=7x^2+4x+2$$

anonymous · Answer

giving 3 equations 
$$A+B=7$$
$$A+B+C=4$$
$$5A+C=2$$

anonymous · Answer

i guess we can subtract the first from the second and get C = -3

anonymous · Answer

replacing C by -3 in the third gives 
$$5A-3=2$$ so A=1
and finally replacing A by 1 equation 1 gives B = 6  

what a pita

anonymous · Answer

Thank you , you are the MASTER !!!

anonymous · Answer

yes now i am a master. graduated from superhero

anonymous · Answer

now you can explain these fourier series to me