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

Respuesta :

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:

 [tex]x^2-12x+36= -6+36[/tex]

Step-by-step explanation:

Equation : [tex]x^2-12x = -6[/tex]

General equation : [tex]ax^2+bx+c=0[/tex]

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

So, next step of completing square :

 [tex]x^2-12x+6^2-6^2= -6[/tex]

 [tex]x^2-12x+36= -6+36[/tex]

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