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Problem
Problem
If
α
\alpha
α
is a root of
4
x
2
+
2
x
−
1
=
0
4x^2 + 2x - 1 = 0
4
x
2
+
2
x
−
1
=
0
. Prove that
4
α
3
−
3
α
4\alpha^3 - 3\alpha
4
α
3
−
3
α
is the other root.
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