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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">bsuir</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады БГУИР</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady BGUIR</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-7648</issn><issn pub-type="epub">2708-0382</issn><publisher><publisher-name>БГУИР</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">bsuir-497</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>МЕТОД РЕШЕНИЯ АЛГЕБРАИЧЕСКИХ УРАВНЕНИЙ ВЫСОКИХ СТЕПЕНЕЙ, ОСНОВАННЫЙ НА ПРИМЕНЕНИИ АРИФМЕТИЧЕСКИХ ПРОГРЕССИЙ</article-title><trans-title-group xml:lang="en"><trans-title>SOLVING METHOD OF HIGH DEGREE ALGEBRAIC EQUATIONS BASED ON ARITHMETIC PROGRESSIONS APPLICATION</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ильин</surname><given-names>В. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Ilyin</surname><given-names>V. M.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Белорусский государственный университет информатики и радиоэлектроники</institution><country>Belarus</country></aff><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>03</day><month>06</month><year>2019</year></pub-date><volume>0</volume><issue>3</issue><fpage>90</fpage><lpage>95</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ильин В.М., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Ильин В.М.</copyright-holder><copyright-holder xml:lang="en">Ilyin V.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://doklady.bsuir.by/jour/article/view/497">https://doklady.bsuir.by/jour/article/view/497</self-uri><abstract><p>В статье [<xref ref-type="bibr" rid="cit1">1</xref>] кратко рассмотрена сущность решения алгебраических уравнений 4 и 6 степеней с применением арифметических прогрессий на примерах определения разных вещественных корней. Здесь же дано отражение особенностей решения других видов уравнений, в частности, без х3.</p></abstract><trans-abstract xml:lang="en"><p>The solving of 4 and 6 degrees algebraic equations with the use of arithmetic progressions with examples of different definitions of real roots was considered in article [<xref ref-type="bibr" rid="cit1">1</xref>]. The solution singularities of the other types equations, in particular, without x3 are described in this article.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>решение</kwd><kwd>учет особенностей метода</kwd><kwd>использование арифметических прогрессий</kwd><kwd>виды алгебраических уравнений</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ильин В.М. // Докл. БГУИР. 2014. № 3 (81). С. 112-117.</mixed-citation><mixed-citation xml:lang="en">Ильин В.М. // Докл. БГУИР. 2014. № 3 (81). С. 112-117.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Мишина А.П., Проскуряков И.В. Высшая алгебра. М., 1962.</mixed-citation><mixed-citation xml:lang="en">Мишина А.П., Проскуряков И.В. Высшая алгебра. М., 1962.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Курош А.Г. Курс высшей алгебры. СПб., 2008.</mixed-citation><mixed-citation xml:lang="en">Курош А.Г. Курс высшей алгебры. СПб., 2008.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Малая математическая энциклопедия. Будапешт, 1976.</mixed-citation><mixed-citation xml:lang="en">Малая математическая энциклопедия. Будапешт, 1976.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
