For it, the discriminant of the quadratic function must be greater than or equal to zero,

which leads to inequality  


    b^2 - 4*64 >= 0.


It gives


    b^2 >= 256,   


with the solutions  b >= 16  OR  b <= -16.    ANSWER

It will have at least 1 real solution if its discriminant is non-negative.



has discriminant

}







Solution: 

Edwin