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Mathematics
Problem
## Extending the Ideas 75. Prove that a nondegenerate graph of the equation
A
x
2
+
C
y
2
+
D
x
+
E
y
+
F
=
0
A x^{2}+C y^{2}+D x+E y+F=0
A
x
2
+
C
y
2
+
D
x
+
E
y
+
F
=
0
is an ellipse if
A
C
>
0
A C>0
A
C
>
0
.
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