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can anyone help with circles?

 

 Aug 6, 2020
 #1
avatar+26767 
+1

x^2 + 4x       + y^2 + 6y   = 51     complete the square for x and y

(x+2)^2         + (y+3)^2     = 51 + 4 + 9          this is a circle with center  -2 -3   and radius 8  

 

 

x^2 + 4         +   y^2 + 6y    = 3

(x+2)^2         + (y+3)^2      = 3   + 4 + 9            this is a circle with center  -2 -3  and radius  4      (diameter 8)

 Aug 6, 2020
 #2
avatar+169 
+2

You can factor and use the circle formula, which is:

\((x – h)^2 + (y – k)^2 = r^2\)

the center (h, k) and the radius r

 Aug 6, 2020

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