x² + y² +2y-16=0 transform to standard form please
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Popular Problems Precalculus Write the Equation in Standard Form x^2+y^2-8x+2y-16=0
x
2
+
y
2
−
8
x
+
2
y
−
16
=
0
Move
16
to the right side of the equation because it does not contain a variable.
x
2
+
y
2
−
8
x
+
2
y
=
16
Complete the square for
x
2
−
8
x
.
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(
x
−
4
)
2
−
16
Substitute
(
x
−
4
)
2
−
16
for
x
2
−
8
x
in the equation
x
2
+
y
2
−
8
x
+
2
y
=
16
.
(
x
−
4
)
2
−
16
+
y
2
+
2
y
=
16
Move
−
16
to the right side of the equation by adding
16
to both sides.
(
x
−
4
)
2
+
y
2
+
2
y
=
16
+
16
Complete the square for
y
2
+
2
y
.
Tap for more steps...
(
y
+
1
)
2
−
1
Substitute
(
y
+
1
)
2
−
1
for
y
2
+
2
y
in the equation
x
2
+
y
2
−
8
x
+
2
y
=
16
.
(
x
−
4
)
2
+
(
y
+
1
)
2
−
1
=
16
+
16
Move
−
1
to the right side of the equation by adding
1
to both sides.
(
x
−
4
)
2
+
(
y
+
1
)
2
=
16
+
16
+
1
Simplify
16
+
16
+
1
(
x
−
4
)
2
+
(
y
+
1
)
2
=
33
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