Question

Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?

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Answer 1

Add 36 to each side

x = 6±sqrt(30)

Explanation:

x^2−12x=−6

Take the coefficient of x

-12

Divide by 2

-12/2 = -6

Square it

(-6)^2 = 36

Add 36 to each side

x^2−12x+36=−6+36

( x-6)^2 = 30

Take the square root of each side

x-6 = ±sqrt(30)

Add 6 to each side

x-6+6 = 6±sqrt(30)

x = 6±sqrt(30)