Question

Solve 3x^2 + 6x + 6 = 0

Answer 1

Answer:

No real solutions.

Step-by-step explanation:

We need to solve the following equation: 3x^2 + 6x + 6 = 0

First, we should divide the whole equation by 3:

3x^2 + 6x + 6 = 0 ⇒ x^2 + 2x + 2 = 0

Now, the equation has no real results. It happens because the polynomial never crosses the x-axis. (See graph attached).

The imaginary solution is:

x = -1 + i

x= -1 - i