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:



  

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