File:Quadratic function graph complex roots.svg

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File:Quadratic function graph complex roots.svg

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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.
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Author Cmglee

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Date/Time Thumbnail Dimensions User Comment
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
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.
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