2. how many real number solutions are there to the equation 0 = –3x² + x – 4? (1 point)

Given

finding the determinant will tell us how many solutions
the determinant is

so we have
a=-3
b=1
c=-4

so the determinant is

now we know if d=0 there is 1 real solution if d<0 there are complex solutions and if d>0 there are 2 real solutions.
since d=-47<0 there are no real solutions only complex ones