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Problem
Problem
If the roots of equation
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
+
c
(
a
−
b
)
=
0
a(b-c)x^2 + b(c-a)x + c(a-b) = 0
a
(
b
−
c
)
x
2
+
b
(
c
−
a
)
x
+
c
(
a
−
b
)
=
0
be equal, prove that
a
,
b
,
c
a, b, c
a
,
b
,
c
are in HP.
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