Solve x2+12x=-11 by completing the square . Which is the the solution set of the equation?
2 answers:
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
= ±
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
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Step-by-step explanation:
Raising something to a power to a power simply simply multiplies the two exponents
(n^3)^2 = n^6
(n^5)^4 = n^20
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n^6 x n^20 = n^26