Geometrical Solution of Some Cubic Equations with Non-Real Roots
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| Title: | Geometrical Solution of Some Cubic Equations with Non-Real Roots |
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| Language: | English |
| Authors: | Pathak, H. K., Grewal, A. S. |
| Source: | International Journal of Mathematical Education in Science and Technology. Jul 2002 33(4):575-583. |
| Availability: | Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals/default.html |
| Peer Reviewed: | Y |
| Physical Description: | |
| Page Count: | 9 |
| Publication Date: | 2002 |
| Document Type: | Journal Articles Reports - Descriptive |
| Descriptors: | Equations (Mathematics), Geometry, Computation |
| DOI: | 10.1080/00207390210125738 |
| ISSN: | 0020-739X |
| Abstract: | A general cubic equation ax[cubed] + bx[squared] + cx + d = 0 where a , b , c , d [is a member of R], a [not equal to] 0 has three roots with two possibilities--either all three roots are real or one root is real and the remaining two roots are imaginary. Dealing with the second possibility this paper attempts to give the geometrical locations of the imaginary roots of the equation under three different sets of conditions. These sets of conditions include: (i) the real root of the given cubic equation is given, (ii) the real part of an imaginary root is given, and (iii) the imaginary part of an imaginary root is given. (Contains 2 figures.) |
| Abstractor: | Author |
| Number of References: | 1 |
| Entry Date: | 2007 |
| Accession Number: | EJ770494 |
| Database: | ERIC |
| Abstract: | A general cubic equation ax[cubed] + bx[squared] + cx + d = 0 where a , b , c , d [is a member of R], a [not equal to] 0 has three roots with two possibilities--either all three roots are real or one root is real and the remaining two roots are imaginary. Dealing with the second possibility this paper attempts to give the geometrical locations of the imaginary roots of the equation under three different sets of conditions. These sets of conditions include: (i) the real root of the given cubic equation is given, (ii) the real part of an imaginary root is given, and (iii) the imaginary part of an imaginary root is given. (Contains 2 figures.) |
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| ISSN: | 0020-739X |
| DOI: | 10.1080/00207390210125738 |
