Create a response. 10 points describe when a quadratic function would not have solutions that can be found by graphing. 45 points explain how you could find those exact solutions. 45 points

If the graph of the functions does not pass through the x axis it has no real solutions,  only complex ones.

An example would be x^2 + 5x + 11

To find  the solutions you could use the quadratic formula.

x = [-5 +/- sqrt( 5^2 - 4*1*11) ] / 2

x =  [-[5 +/- sqrt (-19) ]  / 2

 solutions are  -5/2 +1/2 (sqrt 19)i   and  -5/2 - 1/2(sqrt19)i