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Problems
Contests
National and Regional Contests
Moldova Contests
Chisinau City MO
1979 Chisinau City MO
171
171
Part of
1979 Chisinau City MO
Problems
(1)
Chisinau MO p171 1979 VIII ax^2 + (a+b) x + b= x has no roots
Source:
3/17/2021
Are there numbers
a
,
b
a, b
a
,
b
such that
∣
a
−
b
∣
≤
1979
| a -b |\le 1979
∣
a
−
b
∣
≤
1979
and the equation
a
x
2
+
(
a
+
b
)
x
+
b
=
x
ax^2 + (a + b) x + b = x
a
x
2
+
(
a
+
b
)
x
+
b
=
x
has no roots?
trinomial
algebra