Hi,
y=4/9x2+24/9x+12
4/9x2+24/9x+12 = 0
4x^ + 24x + 108 = 0
x^2 + 6x + 27 = 0
| Solved by pluggable solver: SOLVE quadratic equation with variable |
Quadratic equation  (in our case  ) has the following solutons:
For these solutions to exist, the discriminant  should not be a negative number.
First, we need to compute the discriminant :  .
The discriminant -72 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 -72 is + or -  .
The solution is 
Here's your graph:
 |
