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Moldova Contests
Chisinau City MO
1979 Chisinau City MO
171
Chisinau MO p171 1979 VIII ax^2 + (a+b) x + b= x has no roots
Chisinau MO p171 1979 VIII ax^2 + (a+b) x + b= x has no roots
Source:
March 17, 2021
trinomial
algebra
Problem Statement
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?
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