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Mathematics
Mathematics
Problem
If one of the roots of the equation
2
x
2
−
6
x
+
k
=
0
2x^2 - 6x + k = 0
2
x
2
−
6
x
+
k
=
0
is
α
+
5
i
2
\frac{\alpha + 5i}{2}
2
α
+
5
i
, then the value of
α
\alpha
α
and
k
k
k
are : (a)
α
=
3
,
k
=
8
\alpha = 3, k = 8
α
=
3
,
k
=
8
(b)
α
=
3
2
,
k
=
17
\alpha = \frac{3}{2}, k = 17
α
=
2
3
,
k
=
17
(c)
α
=
−
3
,
k
=
−
17
\alpha = -3, k = -17
α
=
−
3
,
k
=
−
17
(d)
α
=
3
,
k
=
17
\alpha = 3, k = 17
α
=
3
,
k
=
17
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