If p and q are the roots of the equation x 2 + px + q = 0, then

Since, p and q are the roots of the equation x² + px + q = 0
Then, p + q = - p
and pq = q
Now, pq = q
⇒ p = 1
Putting the value of p in p + q = - p, we get
1 + q = - 1
⇒ q = - 2