File:Quadratic function graph complex roots.svg
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[edit]DescriptionQuadratic function graph complex roots.svg |
English: Visualisation of the complex roots of y = ax² + bx + c where a is positive and the discriminant, b² - 4ac is negative, by CMG Lee. The parabola is rotated 180° about its vertex (yellow). Its roots are rotated 90° around their mid-point, and the plane is interpreted as the complex plane (green). The example shown has a = 1, b = -2 and c = 5. |
Source | Own work |
Author | Cmglee |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:50, 18 February 2021 | 512 × 768 (7 KB) | Cmglee (talk | contribs) | Improve formatting and colours. | |
19:51, 8 October 2016 | 512 × 768 (7 KB) | Cmglee (talk | contribs) | Shade complex number triangles. | ||
17:37, 2 October 2016 | 512 × 768 (7 KB) | Cmglee (talk | contribs) | Fix denominator. | ||
22:10, 1 October 2016 | 512 × 768 (6 KB) | Cmglee (talk | contribs) | Fix text alignment. | ||
22:03, 1 October 2016 | 512 × 768 (6 KB) | Cmglee (talk | contribs) | {{Information |Description ={{en|1=Visualisation of the complex roots of ''y'' = ''ax''² + ''bx'' + ''c'' where ''a'' is positive and the discriminant, ''b''² - 4''ac'' is negative, by CMG Lee. The graph is rotated 180° about the vert... |
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Short title | Quadratic function graph complex roots |
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Image title | Visualisation of the complex roots of y = ax² + bx + c where a is positive and the discriminant, b² - 4ac is negative, by CMG Lee. The parabola is rotated 180° about its vertex (yellow). Its roots are rotated 90° around their mid-point, and the plane is interpreted as the complex plane (green). The example shown has a = 1, b = -2 and c = 5. |
Width | 100% |
Height | 100% |