Graph:X^2 + 20 – y^2 – 7x – 2y + 21 – 8x + 6y - 2 = 2 – 4y – 5x – 2y^2

Graph:X^2 + 20 – y^2 – 7x – 2y + 21 – 8x + 6y - 2 = 2 – 4y – 5x – 2y^2

(h,k)
r^2

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x^2 + 20 – y^2 – 7x – 2y + 21 – 8x + 6y - 2 = 2 – 4y – 5x – 2y^2 ?

combine like terms...

x^2 - 10x + y^2 + 8y = - 37

complete the square(s)

(x^2 - 10x + 25) + (y^2 + 8y + 16) = - 37 + 41 = 4

(x - 5)^2 + (y + 4)^2 = 4

center is: (5, - 4)
radius is: 2 units

graph of a circle

qed

Yes, that is a circle, with radius 2.