Question

What are the solutions of 3x2 + 6x + 6 = 0?

Answer 1

factor out a 3 first

Answer 2

--> x^2 +2x+2 = 0

Answer 3

3 (x^2+2 x+2) = 0

Answer 4

Use the quadratic formula on that.
a = 1
b = 2
c = 2

x = -1-i
x = -1+i

Answer 5

Then use quadratic formula

Answer 6

No real solutions..

\[b^{2}-4ac = 36-72 < 0\]

Answer 7

\[x _{1} =( -2 + \sqrt{4-4*1*2} )/ 2*1 =( -2 + \sqrt{-4} )/2\]

\[x _{2} =( -2 - \sqrt{4-4*1*2} )/ 2*1 =( -2 - \sqrt{-4} )/2\]