What is the standard form of the equation of the circle x2 - 2x y2 - 8y - 8 = 0?

The standard form of the equation of the circle is:

(x - p) ² + (y - q) ² = r²; where p, q are the coordinates of the circle's center and r is the radius of the circle.

x² - 2 x + y² - 8 y - 8 = 0

(x² - 2 x + 1) + (y² - 8 y + 16) - 1 - 16 - 8 = 0

We completed the square of the binomial.

(x - 1) ² + (y - 4) ² = 1 + 16 + 8

Answer:

The standard form of the equation is (x - 1) ² + (y - 4) ² = 25.

2*2-8-8=0

X*Y-y

You multiply 2 subtract 8 two times