Question 1122552
use the quadratic formula for roots, then
:
p = (-b +sqrt(b^2 -4ac))/2a
:
q = (-b -sqrt(b^2 -4ac))/2a
:
p+q = ((-b +sqrt(b^2 -4ac) +(-b -sqrt(b^2 -4ac)))/2a =
:
-2b/2a = 
:
-b/a
:
p*q = (-b +sqrt(b^2 -4ac))/2a * (-b -sqrt(b^2 -4ac))/2a =
:
(b^2 -b^2 +4ac)/4a^2 =
:
4ac/4a^2 =
:
c/a
: