Question

if one zero of polynomial(a2+25)+36x+100a is the reciprocal of the other ,finf the value of a

Answer 1

let the roots be k and (1/k)
product of roots=k*(1/k)=1
from eqn... product of roots=100a/(a^2+25)
100a/(a^2+25)=
100a=a。^2 +25
a^2 -100A+25=0
solve this quadratic