Answer:
p+q= -4
Step-by-step explanation:
If 'p' and 'q' are solutions to x^2 + 4x +6=0 then that same eq. can be written as (x-p)*(x-q).
Hence we have the following relationship
(x-p)*(x-q)=x^2 + 4x +6
Distributing terms x^2 -xq-xp+pq=x^2 + 4x +6
We have obtained 2 equations if we look at the coefficients of the quadratic equation:
From x coefficients we have the equation: -p-q=4
and from independent terms we have: p*q= 6
From the first eq. we have -(p+q)=4, so p+q= -4
