What is the center and radius of the circle described by this equation? (x-3) 2 + (y-5) 2 =36

Now what about this equation? x x y y + 50 = -5

Completing the Square

x x 3 3

x x What is the area of this whole square (blue and orange together)? 3 3

x x What is the area of each quadrilateral? 3 3

x x 3 3 3x x2x2 3 2 =9

x x 5 5 Complete the square

x x 7 7

Incomplete squares, algebraically: = x 2 + 5x + 5x = x x = x 2 + 7x + 7x = x x

So…how would you complete the square without the picture? What if you only had the expressions? x x x x

Take half of the coefficient for x, square it, and add to expression. x x  ½ *10 = 5  5 2 = 25  x x + 25 = (x+5) 2

Now what about this equation? x x y y + 50 = -5