x^2+y^2+2y+1=0 find x+2y
Answers
Answer:
Explanation:
Sort the
x
-terms and
y
-terms.
x
2
−
x
+
y
2
+
2
y
=
−
1
Now, complete the square for each variable.
x
2
−
x
+
1
4
+
y
2
+
2
y
+
1
=
−
1
+
1
4
+
1
Don't forget to balance both sides of the equation. (If you add something to one side, add it to the other side as well.)
(
x
−
1
2
)
2
+
(
y
+
1
)
2
=
1
4
This is in the standard form of a circle
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Where:
(
h
,
k
)
is the center and
r
is the length of the radius.
Thus, this is a circle with a center at
(
1
2
,
−
1
)
and a radius of
1
2
.
enter image source here
Here's a graph. (Notice the center at
(
0.5
,
−
1
)
and a diameter of
1
.)
Step-by-step explanation:
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Step-by-step explanation:
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