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An algebraic equation of the second degree. The general form of a quadratic equation is

In the field of complex numbers a quadratic equation has two solutions, expressed by radicals in the coefficients of the equation:

 (*)

When both solutions are real and distinct, when , they are complex (complex-conjugate) numbers, when the equation has the double root .

formula (*) has the form

The roots and coefficients of a quadratic equation are related by (cf. Viète theorem):