For the quadratic equation x^2 + (0)x + 2 = 0, determine the nature of its roots.
Note
Think of this as a discriminant question. For a quadratic equation ax^2 + bx + c = 0, first identify a = 1, b = 0, and c = 2. Now calculate D = b^2 - 4ac = (0)^2 - 4(1)(2) = -8. Since D < 0, the equation has no real roots. A negative discriminant means the square root part of the quadratic formula is not real.
