Question

Lamar is solving the equation x^2 - 12x = -6 by completing the square. Which shows lamar's next step and the solution to the equation?
step 1: x^2 -12x = 6
step 2: x^2 - 12x + 36 = -6 +36

Answer 1

x = 6 ± √30

x²  + 2( -6)x + 36 = - 6 + 36

(x - 6)² = 30 ( take the square root of both sides )

x - 6 = ± √30 ( note plus or minus )

add 6 to both sides

x = 6 ± √30 ( exact solutions )

Answer 2

Answer:

 $x^2-12x+36= -6+36$

Step-by-step explanation:

Equation : $x^2-12x = -6$

General equation : $ax^2+bx+c=0$

So,we need to add and subtract $(\frac{b}{2})^2$ for completing square.

So, next step of completing square :

 $x^2-12x+6^2-6^2= -6$

 $x^2-12x+36= -6+36$

Hence Step 2 shows lamar's next step and the solution to the equation