Think of this as a discriminant question. For a quadratic equation ax^2 + bx + c = 0, first identify a = 1, b = 3, and c = 5. Now calculate D = b^2 - 4ac = (3)^2 - 4(1)(5) = -11. Since D < 0, the equation has no real roots. A negative discriminant means the square root part of the quadratic formula is not real.