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In the best way, I counted for substitution of a root in the initial equation. The thoughtful reader will ask: "And what if any root of a rezolventa is complex number? What in this case criterion?" Still it would be desirable to talk about criterion. If this condition true is put + (plus), if a condition incorrect - (minus)įurther all these parameters are substituted in a formulaĪlso equation roots 4 degrees are defined. We take any root of a rezolventa and we compare it What sign to take when we calculate roots? Now about which spoke about nuance earlier. This cubic equation, which substitution turns to a classical cubic rezolventa. Three auxiliary parameters are connected to coefficients of the given polynom through the following ratiosĮxpressing any of auxiliary parameters we receive, in this or that look a cubic rezolventa

We look for the solution of this equation in the form of the sums of two functions Replacement substitution we receive the so-called given polynomial There is only one nuance which predecessors faced, I should sometimes some define a sign + or too - for one auxiliary parameter. Knowing these three parameters, we can easily find all four roots of the initial equation. On any of value of a root of a rezolventa, we calculate three auxiliary parameter.

And most likely to avoid it it will not turn out in any way.

This calculator allows to calculate roots of any polynom of the fourth degree.Ĭoefficients can be both real and complex numbers.Ī certain technique which is not described anywhere and is not sorted was used.ĭid not begin to use formulas Ferrari - not interestingly.ĭespite an own way, you utykatsya all the same in a task of the solution of the auxiliary equation of the third degree, a so-called cubic rezolventa.