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Problem
Problem
The roots of the equation
x
2
−
4
x
−
11
=
0
x^2 - 4x - 11 = 0
x
2
−
4
x
−
11
=
0
are
α
\alpha
α
and
β
\beta
β
. Find *all* quadratic equations with roots
α
β
\alpha\beta
α
β
and
α
+
β
\alpha + \beta
α
+
β
.
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