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Algebra 2
Convert equations of ellipses from general to standard form
Write the equation in standard form for the ellipse
3
x
2
+
y
2
+
6
y
−
9
=
0
3x^2 + y^2 + 6y - 9 = 0
3
x
2
+
y
2
+
6
y
−
9
=
0
.
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Write the equation in standard form for the ellipse
x
2
+
6
y
2
−
30
=
0
x^2 + 6y^2 - 30 = 0
x
2
+
6
y
2
−
30
=
0
.
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Write the equation in standard form for the ellipse
6
x
2
+
y
2
+
8
y
−
8
=
0
6x^2 + y^2 + 8y - 8 = 0
6
x
2
+
y
2
+
8
y
−
8
=
0
.
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Write the equation in standard form for the ellipse
x
2
+
9
y
2
+
2
x
−
26
=
0
x^2 + 9y^2 + 2x - 26 = 0
x
2
+
9
y
2
+
2
x
−
26
=
0
.
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Write the equation in standard form for the ellipse
x
2
+
2
y
2
−
6
x
−
23
=
0
x^2 + 2y^2 - 6x - 23 = 0
x
2
+
2
y
2
−
6
x
−
23
=
0
.
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Write the equation in standard form for the ellipse
5
x
2
+
y
2
=
25
5x^2 + y^2 = 25
5
x
2
+
y
2
=
25
.
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Write the equation in standard form for the ellipse
3
x
2
+
y
2
=
24
3x^2 + y^2 = 24
3
x
2
+
y
2
=
24
.
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Write the equation in standard form for the ellipse
2
x
2
+
y
2
−
30
=
0
2x^2 + y^2 - 30 = 0
2
x
2
+
y
2
−
30
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
6
x
2
+
y
2
=
18
6x^2 + y^2 = 18
6
x
2
+
y
2
=
18
.
Get tutor help
Write the equation in standard form for the ellipse
x
2
+
5
y
2
=
25
x^2 + 5y^2 = 25
x
2
+
5
y
2
=
25
.
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Write the equation in standard form for the ellipse
3
x
2
+
y
2
−
15
=
0
3x^2 + y^2 - 15 = 0
3
x
2
+
y
2
−
15
=
0
.
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Write the equation in standard form for the ellipse
x
2
+
9
y
2
−
18
y
−
9
=
0
x^2 + 9y^2 - 18y - 9 = 0
x
2
+
9
y
2
−
18
y
−
9
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
x
2
+
8
y
2
−
16
=
0
x^2 + 8y^2 - 16 = 0
x
2
+
8
y
2
−
16
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
3
x
2
+
y
2
+
2
y
−
26
=
0
3x^2 + y^2 + 2y - 26 = 0
3
x
2
+
y
2
+
2
y
−
26
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
2
x
2
+
y
2
=
4
2x^2 + y^2 = 4
2
x
2
+
y
2
=
4
.
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Write the equation in standard form for the ellipse
x
2
+
2
y
2
−
16
y
+
28
=
0
x^2 + 2y^2 - 16y + 28 = 0
x
2
+
2
y
2
−
16
y
+
28
=
0
.
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Write the equation in standard form for the ellipse
4
x
2
+
y
2
=
16
4x^2 + y^2 = 16
4
x
2
+
y
2
=
16
.
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Write the equation in standard form for the ellipse
x
2
+
2
y
2
=
12
x^2 + 2y^2 = 12
x
2
+
2
y
2
=
12
.
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Write the equation in standard form for the ellipse
x
2
+
9
y
2
−
2
x
−
26
=
0
x^2 + 9y^2 - 2x - 26 = 0
x
2
+
9
y
2
−
2
x
−
26
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
x
2
+
9
y
2
−
18
=
0
x^2 + 9y^2 - 18 = 0
x
2
+
9
y
2
−
18
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
8
x
2
+
y
2
−
24
=
0
8x^2 + y^2 - 24 = 0
8
x
2
+
y
2
−
24
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
x
2
+
4
y
2
=
16
x^2 + 4y^2 = 16
x
2
+
4
y
2
=
16
.
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Write the equation in standard form for the ellipse
x
2
+
7
y
2
+
14
y
−
7
=
0
x^2 + 7y^2 + 14y - 7 = 0
x
2
+
7
y
2
+
14
y
−
7
=
0
.
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Write the equation in standard form for the ellipse
x
2
+
3
y
2
−
21
=
0
x^2 + 3y^2 - 21 = 0
x
2
+
3
y
2
−
21
=
0
.
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Write the equation in standard form for the ellipse
7
x
2
+
y
2
=
28
7x^2 + y^2 = 28
7
x
2
+
y
2
=
28
.
Get tutor help
Write the equation in standard form for the ellipse
x
2
+
6
y
2
−
24
=
0
x^2 + 6y^2 - 24 = 0
x
2
+
6
y
2
−
24
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
2
x
2
+
y
2
+
8
x
+
4
=
0
2x^2 + y^2 + 8x + 4 = 0
2
x
2
+
y
2
+
8
x
+
4
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
x
2
+
6
y
2
−
18
=
0
x^2 + 6y^2 - 18 = 0
x
2
+
6
y
2
−
18
=
0
.
Get tutor help
Write the equation in standard form for the ellipse
7
x
2
+
y
2
=
21
7x^2 + y^2 = 21
7
x
2
+
y
2
=
21
.
\newline
______
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