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 |
|---|---|
| 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 |
| FullText | Links: – Type: pdflink Url: https://content.ebscohost.com/cds/retrieve?content=AQICAHj0k_4E0hTGH8RJwT4gCJyBsGNe_WN95AvKlDbXJGqwxwEpyvjf3iNz4A3d8x8Vy72pAAAA4DCB3QYJKoZIhvcNAQcGoIHPMIHMAgEAMIHGBgkqhkiG9w0BBwEwHgYJYIZIAWUDBAEuMBEEDLeMVPIneaEIH-m9HQIBEICBmL4LEXHCfr-1Y-9FczkoKwx3m-_Ci2de4u1e3z1dFsgdqNCIyBqpGq4v0tiR06SZAIxxBEudEC1MK0cNYLndv4HI8wNsiE7Qpc1TXxLPtwBm0V-IWVA0xKWzK99EFTpCpcOZRz4PU_mLMqnVL1KgxTDiKUrhYez7REPyUOSdPoQ83fz_JOT60rLvkmmfLaDCdn2AwE4dsfJw Text: Availability: 0 |
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| Header | DbId: eric DbLabel: ERIC An: EJ770494 AccessLevel: 3 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Geometrical Solution of Some Cubic Equations with Non-Real Roots – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pathak%2C+H%2E+K%2E%22">Pathak, H. K.</searchLink><br /><searchLink fieldCode="AR" term="%22Grewal%2C+A%2E+S%2E%22">Grewal, A. S.</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22International+Journal+of+Mathematical+Education+in+Science+and+Technology%22"><i>International Journal of Mathematical Education in Science and Technology</i></searchLink>. Jul 2002 33(4):575-583. – Name: Avail Label: Availability Group: Avail Data: 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 – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: PhysDesc Label: Physical Description Group: PhysDesc Data: PDF – Name: Pages Label: Page Count Group: Src Data: 9 – Name: DatePubCY Label: Publication Date Group: Date Data: 2002 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Journal Articles<br />Reports - Descriptive – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Equations+%28Mathematics%29%22">Equations (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Computation%22">Computation</searchLink> – Name: DOI Label: DOI Group: ID Data: 10.1080/00207390210125738 – Name: ISSN Label: ISSN Group: ISSN Data: 0020-739X – Name: Abstract Label: Abstract Group: Ab Data: 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.) – Name: AbstractInfo Label: Abstractor Group: Ab Data: Author – Name: Ref Label: Number of References Group: RefInfo Data: 1 – Name: DateEntry Label: Entry Date Group: Date Data: 2007 – Name: AN Label: Accession Number Group: ID Data: EJ770494 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ770494 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/00207390210125738 Languages: – Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 575 Subjects: – SubjectFull: Equations (Mathematics) Type: general – SubjectFull: Geometry Type: general – SubjectFull: Computation Type: general Titles: – TitleFull: Geometrical Solution of Some Cubic Equations with Non-Real Roots Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pathak, H. K. – PersonEntity: Name: NameFull: Grewal, A. S. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Type: published Y: 2002 Identifiers: – Type: issn-print Value: 0020-739X Numbering: – Type: volume Value: 33 – Type: issue Value: 4 Titles: – TitleFull: International Journal of Mathematical Education in Science and Technology Type: main |
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