The centre of the circle lies on x-axis.
Its co-ordinates can be supposed as (h, 0)
The circle passes through point A (2, 3) and has a radius 5.
CA = 5
When h = 6, the centre of circle is
radius of circle = 5
∴ The equation of circle is:
or
When h = -2, the centre of circle is (-2, 0) and the radius is 5
∴ the equation of circle is:
or
or
Hence, the equation of circle is: