In a quadratic equation with the general formula of:
ax^2 + bx + c = 0
The discriminant is equal to b^2 - 4(a)(c). If the answer is a perfect square, then there are two real numbers. If not, then there are no real number root.
The discriminant for this equation is
(-6)^2 - 4(3)(1) = 24
Since 24 is not a perfect square, there are no real number roots.
