To analyze the ellipse given by the equation
𝑥
2
+
4
𝑦
2
+
4
𝑥
−
8
𝑦
+
7
=
0
x
2
+4y
2
+4x−8y+7=0, we will rewrite it in the standard form of an ellipse equation by completing the square for both
𝑥
x and
𝑦
y.
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