## Sum and Product of Roots

The quadratic formula

$x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$

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

$x_1 = \dfrac{-b + \sqrt{b^2-4ac}}{2a}$ and $x_2 = \dfrac{-b - \sqrt{b^2-4ac}}{2a}$

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.

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