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Mathematics
Mathematics
Problem
Let
α
\alpha
α
and
β
\beta
β
be the sum and the product of all the non-zero solutions of the equation
(
z
ˉ
)
2
+
∣
z
∣
=
0
(\bar{z})^2 + |z| = 0
(
z
ˉ
)
2
+
∣
z
∣
=
0
,
z
∈
C
z \in \mathbb{C}
z
∈
C
. Then,
4
(
α
2
+
β
2
)
4(\alpha^2 + \beta^2)
4
(
α
2
+
β
2
)
is equal to (a) 2 (b) 6 (c) 4 (d) 8
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