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Mathematics
Problem
If
a
,
b
,
c
∈
Q
a, b, c \in \mathbb{Q}
a
,
b
,
c
∈
Q
, then roots of the equation
(
b
+
c
−
2
a
)
x
2
+
(
c
+
a
−
2
b
)
x
+
(
a
+
b
−
2
c
)
=
0
(b + c - 2a)x^2 + (c + a - 2b)x + (a + b - 2c) = 0
(
b
+
c
−
2
a
)
x
2
+
(
c
+
a
−
2
b
)
x
+
(
a
+
b
−
2
c
)
=
0
are a. rational b. non-real c. irrational d. equal
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