Arrange into standard form
2x^2-12x+3=0
Use the discriminant to find the number of real roots
(-12)^2-4(2)(3)
144-8(3)
144-24
120
Because the discriminant is positive, it has 2 real roots.
Try to factor it, if it is not possible, the roots are irrational.
x^2-12x+6
Not factorable
Final answer: 2 real, irrational roots
