A
1
xyz
5
+
B
1
x
+
C
1
y
+
D
1
=
0
A
2
xyz
5
+
B
2
x
+
C
2
y
+
D
2
=
0
A
3
xyz
5
+
B
3
x
+
C
3
y
+
D
3
=
0
is equivalent to
z
5
=
a
,
x
=
b
,
y
=
c
, (some
a
,
b
,
c
)
which has 1 real root.
A
1
x
+
B
1
y
+
C
1
(
z
)
=
0
A
2
x
+
B
2
y
+
C
2
(
z
)
=
0
(deg(
C
i
(
z
))=5)
A
3
x
+
B
3
y
+
C
3
(
z
)
=
0
is equivalent to a system
f
(
z
) = 0,
x
=
g
(
z
),
y
=
h
(
z
), (deg(
f
)=5)
which can have 5 real roots.