Answer: Yes, it has a radius of 4
Explanation:
General equation of a circle is
x²+y²+2gx+2fy+c = 0... 1
Where r = √g²+f²-c
Comparing the general b equation to the given equation to get g, f and c
x^2−6x+y^2−7=0
Rearranging
x²+y²-6x -7 = 0... 2
Comparing 1 and 2;
2gx = -6x
2g = -6
g = -3
2fy = 0 ( since there is no function of y in the given equation)
f = 0
c = -7
Substituting into the radius formula
r = √(-3)²+0² -(-7)
r = √9+7
r = √16 units
r = 4units
It is true that the radius of the circle is 4units