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Mathematics
Mathematics
Problem
If
z
1
,
z
2
∈
C
z_1, z_2 \in \mathbb{C}
z
1
,
z
2
∈
C
,
z
1
2
+
z
2
2
∈
R
z_1^2 + z_2^2 \in \mathbb{R}
z
1
2
+
z
2
2
∈
R
,
z
1
(
z
1
2
−
3
z
2
2
)
=
2
z_1(z_1^2 - 3z_2^2) = 2
z
1
(
z
1
2
−
3
z
2
2
)
=
2
and
z
2
(
3
z
1
2
−
z
2
2
)
=
11
z_2(3z_1^2 - z_2^2) = 11
z
2
(
3
z
1
2
−
z
2
2
)
=
11
, the value of
z
1
2
+
z
2
2
z_1^2 + z_2^2
z
1
2
+
z
2
2
is
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