# Sum and Product of Roots

The quadratic formula

give the roots of a quadratic equation which may be real or imaginary. The ± sign in the radical indicates that

where x_{1} and x_{2} are the roots of the quadratic equation ax^{2} + bx + c = 0. The sum of roots x_{1} + x_{2} and the product of roots x_{1}·x_{2} are common to problems involving quadratic equation.