# P2 Root

## If each pair ofthe following three equations x: `x^2+p_1x + q_1 =0` `x^2 + p_2x +q_2=0` , `x^2+p_3x+q_3=0` , has exactly one root common, prove that `(p_1+p_2+p_3)^2=4(p_1p_2+p_2p_3+p_3p_1-q_1-q_2-q_3

$\noindent a) Show that if p is an odd prime, and g is a primitive root \mod (p) but not \mod (p^2), then g&plus$