Show that if #p,q,r,s# are real number and #pr=2(q+s)# then at-least one of the equations #x^2+px+q=0# and #x^2+rx+s=0# has real roots?
1 Answer
Jan 8, 2018
Please see below.
Explanation:
The discriminant of
and that of
and
=
=
=
and if
As sum of the two discriminants is positive,
at least one of them would be positive
and hence atleast one of the equations