Find the discriminant of 3p^2-6p+8=0 and give the number and type of solutions to the equation

3p^2-6p+8=0 is in the form ap^2+bp+c = 0

we can see that

a = 3

b = - 6

c = 8

The discriminant D is

D = b^2 - 4ac

D = (-6) ^2 - 4*3*8

D = 36 - 96

D = - 60

The discriminant is - 60.

Since the discriminant is negative, this means that we have two non-real solutions (they are imaginary or complex solutions). If you graphed y = 3x^2-6x+8, you would find that there are no x intercepts. This parabola is completely above the x axis and never crosses or touches it.