Answer:
The explanation below should guide you to solve it's
Explanation:
x2 + y2 - 14x -18y +105 =0
Now the standard form a the equation of a circle is
(X-Xo)2 + (y-yo)2 = r2
The above expressions becomes
x2- 14x + (-14/2)2 - (- 14/2)2 + y2 -18y + (-18/2)2 - (-18/2)2 + 105 =0
The above manipulation does not alter the equation and it's a way of forming squares of a quadratic equation.
(x - 7)2 + (y - 9)2 -49 - 81 + 105 = 0
(x - 7)2 + (y - 9)2 -130 + 105 = 0
(x - 7)2 + (y - 9)2 -25 = 0
(x - 7)2 + (y - 9)2= 25
From the analysis above you can determine the centres of the circle denoted by Xo and Yo as well as the radius which is the square root of the expression at the right