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antoniya [11.8K]
3 years ago
9

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

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
8 0

Answer:

{- 11, - 1 }

Step-by-step 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

\sqrt{(x+6)^2} = ± \sqrt{25}

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

x = - 6 ± 5

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




katrin2010 [14]3 years ago
4 0

Answer:

{- 11, - 1 }

Step-by-step explanation:

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