Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 2x + y2 + 4y = 20

Question

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 2x + y2 + 4y = 20

anonymous · Answer

equation of a circle with center (a,b) and radius r is $$(x-a)^2+(y-b)^2 = r^2$$

can you try rearranging the equation ?

josedavid · Answer

what do u mean

anonymous · Answer

Try rearranging the given equation to the equation of a circle as mentioned above in my reply.

$$x^2+2x+y^2+4y = 20$$

=> $$x^2-2x(-1))+(-1)^2+y^2+2*y*(2)+(2)^2 = 25$$

=> $$(x-(-1))^2 + (y-(-2))^2 = (5)^2$$

radius = 5 and center = (-1,-2)

josedavid · Answer

what is the answer what do i write