SOLUTION OF EQUATIONS WITH ONE VARIABLE


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Abstract

Let a function f(x)∈ Cr[a,b], r ≥ 0, and take values that have different signs at the endpoints of the interval [a,b]. In the article, we propose effective methods for calculating real roots of the equation f(x) = 0 on the given interval [a,b]. We substantiate this method and make a comparison between this method and the chord and Newton methods.

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