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cici86
11.11.2021 •
Mathematics
What are the solutions of 3x2 + 6x + 6 = 0?
A. −2 ± i
B. −2 ± 2i
C. −1 ± i
D. 1 ± i
Solved
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Ответ:
C
Step-by-step explanation:
3x² + 6x + 6 = 0 ( divide through by 3 )
x² + 2x + 2 = 0 ( subtract 2 from both sides )
x² + 2x = - 2
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 2 + 1
(x + 1)² = - 1 ( take square root of both sides )
x + 1 = ±
= ± i ( subtract 1 from both sides )
x = - 1 ± i → C
Ответ:
b is correct answer good luck
Step-by-step explanation: