4. Stella says the equation x^2-8x+y^2+2y=5 has a center of (4,-1) and a radius of 5. Is she correct? Why or why not?

Stella is correct about center and wrong about radius

Step-by-step explanation:

Equation of circle with (h, k) as center and radius r is given by,

(x-h) ² + (y-k) ² = r²

Here equation is

x²-8x+y²+2y=5

Changing in to (x-h) ² + (y-k) ² = r² form

x²-8x + 16 - 16 + y²+2y+1 - 1=5

(x-4) ² - 16 + (y+1) ² - 1 = 5

(x-4) ² + (y+1) ² = 22

(x-4) ² + (y+1) ² = 4.69²

Center is (4,-1) and radius is 4.69

Stella is correct about center and wrong about radius