ANSWER
EXPLANATION
The given rational function is
We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of
which is
When we rationalize we obtain:
The denominator is now a difference of two squares:
We apply this property to get
This simplifies to
Or
Answer:
The equation of circle is .
Step-by-step explanation:
It is given that the circle passes through the point (8,1) and center at the origin.
The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).
Distance formula:
Using distance formula the radius of circle is
The standard form of a circle is
.... (1)
where, (h,k) is center and r is radius.
The center of the circle is (0,0). So h=0 and k=0.
Substitute h=0, k=0 and in equation (1).
Therefore the equation of circle is .