SOLUTION: 6x^2+6x+9=0

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Question 620193: 6x^2+6x+9=0
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2%2B6x%2B9=0
use the quadratic equation
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 6x%5E2%2B6x%2B9+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%286%29%5E2-4%2A6%2A9=-180.

The discriminant -180 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -180 is + or - sqrt%28+180%29+=+13.4164078649987.

The solution is

Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B6%2Ax%2B9+%29