Question

p,q,r,s are non zero nos ;p and q are roots of eqn : X^2+rX+s=0;r and s are roots of eqn : X^2+pX+q=0;find p+q+r+s=?

Answer 1

i have no idea but we can try by example

Answer 2

damn forgot the minus sign. i should think before i type

Answer 3

this is what i got

\[r+s=-p, p + q = -r\] when you add you get
\[r+s+p+q = -p-r\]
now i am thinking this means both sides has to be zero, but maybe not.
any ideas?