Solving quadratic equations with complex numbers

Lecture





We write the quadratic equation in general:

kx 2 + px + q = 0,

where k, p, q are real numbers. It is known from elementary mathematics that if D> 0, then the equation has two real roots, and if D = 0, then one. The case of D <0 in elementary mathematics is not considered, but simply the conclusion is drawn that there are no roots. However, using complex numbers, we can define the set of solutions of a quadratic term for D <0. If this is the case, then we say that the equation has complex roots. When this designate and the roots are found by the formula

Solving quadratic equations with complex numbers
created: 2014-10-05
updated: 2021-03-13
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Algebra

Terms: Algebra