Each of the students in the class was
in the theater exactly two times during
the winter holidays,while
performances A,B and C were seen by
25,12 and 23 students,respectively
.How many students are there in the
class?How many of them saw performances
A and B,B and C,C and A?
1\Show that the polynomial, P(x)=x^n +ax+b, n≥2
(a,b)∈R^2 has at most 3 real distinct roots.
2\Show that the equation x^4 +4ax+b=0 has no
more than 2 real distinct roots.