For the quadratic equation x^2 + (-2)x + 0 = 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 = -2, and c = 0. Now calculate D = b^2 - 4ac = (-2)^2 - 4(1)(0) = 4. Since D > 0, the equation has two distinct real roots. Because this positive discriminant is a perfect square, the roots would also be rational.
