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Mathematics
Problem
If
a
+
b
+
c
=
0
a + b + c = 0
a
+
b
+
c
=
0
,
a
,
b
,
c
∈
Q
a, b, c \in \mathbb{Q}
a
,
b
,
c
∈
Q
then roots of the equation
(
b
+
c
−
a
)
x
2
+
(
c
+
a
−
b
)
x
+
(
a
+
b
−
c
)
=
0
(b+c-a)x^2 + (c+a-b)x + (a+b-c) = 0
(
b
+
c
−
a
)
x
2
+
(
c
+
a
−
b
)
x
+
(
a
+
b
−
c
)
=
0
are: (a) rational (b) irrational (c) imaginary (d) none of these
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