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Mathematics
Mathematics
Problem
If
α
\alpha
α
,
β
\beta
β
are the roots of a quadratic equation
x
2
−
3
x
+
5
=
0
x^2 - 3x + 5 = 0
x
2
−
3
x
+
5
=
0
, then the equation whose roots are
(
α
2
−
3
α
+
7
)
(\alpha^2 - 3\alpha + 7)
(
α
2
−
3
α
+
7
)
and
(
β
2
−
3
β
+
7
)
(\beta^2 - 3\beta + 7)
(
β
2
−
3
β
+
7
)
is -
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