Question

sum 1/4
product -1
forming a quadratic polynomial
what to do with k

Answer 1

dont do anything with k

it is constant

if you want replace k then take the lcm

and the no. which you will get at a place =k

Answer 2

k(x^2+1/4x+1)=0

x^2+1/4x+1=0 (0/k=0