May 03, 2013 · Completing the square will allow us to transform the equation of a circle from general form to standard form. When the equation is in standard form we can identify the center and radius of the ...

Strategies for completing the square - Circles: Move all terms containing x x x and y y y to one side, and the constant term (if there is) to the other side. Divide the equation by the coefficient of x x x and y y y if it's different from one.

Now to complete the square: Divide the linear coefficient by 2 and write it below the problem for later, square this answer, and then add that value to both sides so that both sides remain equal. Divide –2 by 2 to get –1. Square this answer to get 1, and add it to both sides: Simplify the equation.

Consider completing the square for the equation x 2 + b x = a. {\displaystyle x^{2}+bx=a.} Since x 2 represents the area of a square with side of length x, and bx represents the area of a rectangle with sides b and x, the process of completing the square can be viewed as visual manipulation of rectangles. Now to complete the square: Divide the linear coefficient by 2 and write it below the problem for later, square this answer, and then add that value to both sides so that both sides remain equal. Divide –2 by 2 to get –1. Square this answer to get 1, and add it to both sides: Simplify the equation. Steps to verify the equation of a circle by completing the square: 1. Isolate the constant on one side of the equation and group all x terms together and group all y terms together. 2. Take one-half the coe–cient of x and square it. Also, take one-half the coe–cient of y and square it. We're asked to graph the circle. And they give us this somewhat crazy looking equation. And then we could graph it right over here. And to graph a circle, you have to know where its center is, and you have to know what its radius is. So let me see if I can change that. And you have to know what its ...