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prisoha [69]
3 years ago
11

Find the center and radius when x^2+y^2+4x-4y=17

Mathematics
2 answers:
Gekata [30.6K]3 years ago
6 0

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

x^2+y^2+4x-4y=17 can be rearranged to be:

x^2+4x+y^2-4y=17

Now, you can begin to complete the square with both the x and the y:

(x^2+4x+4)-4+(y^2-4y+4)-4=17

Adding 8 to both sides and finishing the squares:

(x+2)^2+(y-2)^2=25(x+2)^2+(y-2)^2=25

The coordinates of the center of the circle are (-2,2), and the radius is \sqrt{25}=5. Hope this helps!

coldgirl [10]3 years ago
3 0

Answer:

the center is (-2,2) and the radius is 5

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