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PolynomialAndEquation
Problem - 2591
If equation
x
2
−
(
1
−
2
a
)
x
+
a
2
−
3
=
0
has two distinct real roots, and equation
x
2
−
2
x
+
2
a
−
1
=
0
is not solvable in real numbers, find the values of
a
such that the roots of the first equation are integers.
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