Suppose you have the equation of the circle [math]x^2+y^2-4x+6y=3[/math]. [br][br]It's clear this is not in standard form.[br]How can you place it in standard form?[br][br][b]Complete the Square[br][/b][br]How does it work? [br][br]Recall that a perfect square looks like[br]1. [math]\left(x-h\right)^2[/math][br]or [br]2. [math]\left(x+h\right)^2[/math][br][br]and when foiled out:[br]1. [math]x^2-2xh+h^2[/math][br]or [br]2. [math]x^2+2xh+h^2[/math][br][br][b]Note the [math]2h[/math] and the [/b][math]h^2[/math].[br][br]In General: if you have [math]x^2+bx[/math], the value that completes the square is [math]\left(\frac{b}{2}\right)^2[/math]. [br]Now complete the Complete the Square Khan Missions. 2 right in a row