Question

if one of zero polynomial x square - 5 x + 5 is reciprocal of other find zeros of x square - 3 x 3 x + 9​

Answer 1

p(x)=x^2-5x+5

other poly. given is g(x)

zeros of px is a and b

zeros of gx are 1/a,1/b

now a + b= 5/1=5

a×b=5/1=5

now,

1/a+1/b = (a+b)/ab

putting values if a abd b we get value of sum and product of zeros of gx

from that we can find answer