Answer :
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.
[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:
[tex]x^2+4x+y^2-4y=17[/tex]
Now, you can begin to complete the square with both the x and the y:
[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]
Adding 8 to both sides and finishing the squares:
[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]
The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!