Question

Solve x2+12x=-11 by completing the square . Which is the the solution set of the equation?

Answer 1

{- 11, - 1 }

Explanation:

Answer 2

{- 11, - 1 }

Explanation:

Since the coefficient of the x² term is 1 , to complete the square

add (half the coefficient of the x-term )² to both sides

x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side

(x + 6)² = 25 ( take the square root of both sides

`√((x+6)^2)` = ±
`√(25)`

x + 6 = ± 5 ( subtract 6 from both sides )

x = - 6 ± 5

x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11