Solve the quadratic equation by completing the square. what are the missing pieces to the steps? –27 = 4x2 – 24x –27 = 4(x2 – 6x) –27 + = 4(x2 – 6x + 9) 9 = 4(x – 3)2 = (x – 3)2 ± = x – 3 = x

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient 

4*(x² – 6x)=-27

Rewrite as perfect squares

4*(x-3)²=9

(x-3)²=9/4> square root both sides> (+/-)(x-3)=3/2> missing pieces

+(x-3)=3/2> x=(3/2)+3> x=9/2

-(x-3)=3/2> x=3-(3/2)> x=3/2