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Problem
Problem
If
α
\alpha
α
and
β
\beta
β
are the roots of
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
, then find the roots of the equation
a
x
2
−
b
x
(
x
−
1
)
+
c
(
x
−
1
)
2
=
0
ax^2 - bx(x-1) + c(x-1)^2 = 0
a
x
2
−
b
x
(
x
−
1
)
+
c
(
x
−
1
)
2
=
0
.
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