Answer:
The circle is centered at (5, −7) and has a radius of 7.
Step-by-step explanation:
The standard form of the equation of a circle with center (a,b) and radius r is given as:
The given equation is
We rewrite to look like the stay form:
We now compare the two equations to get:
a=5, b=-7 and r=7.
Therefore the circle is centered at (5,-7) and has a radius of 7
You didn't post any option, but the ration roots theorem states that all possible rational roots of a polynomial come in the form
where p divides the constant term and q divides the leading term of the polynomial. So, in your case, p divides 3 (i.e. it is 1 or 3), and q divides 5 (i.e. it is 1 or 5).
So, the possible roots are
For the record, this parabola has no real roots.