Question

Rewrite the equation of the circle and standard form and then identify the center of the radius of the circle. 3x^2+3y^-6x+12y=0?

 

 

Answer 1

Step 1:

The circle equation is .

Standard form of the circle is , where center is and is radius of the circle.

Convert the equation into standard form.

Completing square.

Change the expressions, and into a perfect square trinomial.

Add (half the coefficient)² and (half the coefficient)² to each side of the equation.

.

.

Divide each side by .

Compare with standard form of circle .

Center and radius units.

Solution:

Standard form of the circle is .

Center and units.