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Mathematics
Mathematics
Problem
If zeroes
α
\alpha
α
and
β
\beta
β
of a polynomial
x
2
−
7
x
+
k
x^2 - 7x + k
x
2
−
7
x
+
k
are such that
α
−
β
=
1
\alpha - \beta = 1
α
−
β
=
1
, then find the value of
k
k
k
.
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