Question

if alpha and beta are the roots of the equation x² + PX + P +q=0
then the value of alpha square+ alpha beta + beta square + q =
​

Answer 1

Answer:

p^2-p

Step-by-step explanation:

alpha+beta=-p/1

alpha×beta=p+q

alpha square+beta square=(alpha+beta)^2-2alpha×beta

=p^2-2p-2q

alpha square+beta square+alpha beta+q

=p^2-2p-2q+p+q+q

=p^2-p