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1952 Moscow Mathematical Olympiad
221
MMO 221 Moscow MO 1952 all roots real and positive ax^2+bx+c+p=0
MMO 221 Moscow MO 1952 all roots real and positive ax^2+bx+c+p=0
Source:
August 8, 2019
algebra
roots
trinomial
Problem Statement
Prove that if for any positive
p
p
p
all roots of the equation
a
x
2
+
b
x
+
c
+
p
=
0
ax^2 + bx + c + p = 0
a
x
2
+
b
x
+
c
+
p
=
0
are real and positive then
a
=
0
a = 0
a
=
0
.
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