Question

mathematical method to find all real roots of an equation

Answer 1

$\alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ \beta = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a}$
There are only two roots of a quadratic equation, hence we can use the above formulas to find the real roots of a quadratic equation