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Full Answer. A double root can be confirmed mathematically by examining the equation for solving a second-degree polynomial. If the discriminant, or square root of b^2-4*a*c, is equal to zero, then the equation has a double root. Finishing calculating the solution of the equation will yield two answers of the exact same magnitude.
My book defines a vertical asymptote as anything that causes the denominator to be zero. It then states that a vertical asymptote is a nonremovable discontinuity. Then, in a particular problem, when x=0, the denominator equals zero.The book says that there is a discontinuity at that point, and that it is removable.y book defines a vertical asymptote as anything that causes the denominator to be zero. It then states that a vertical asymptote is a nonremovable discontinuity. Then, in a particular problem, when x=0, the denominator equals zero. The book says that there is a discontinuity at that point, and that it is removable.