What are the solutions of 3x2 + 6x + 6 = 0? A. −2 ± i
B. −2 ± 2i
C. −1 ± i
D. 1 ± i

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

i would say c is the best answer, hope it's right!

good luck! =)

cutie~

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%