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13 Nov 2019
2. 12.4 points My Notes Ask Your Teacher Let w = R eai be any nonzero complex number. Then w has n nth roots: n solutions to the equation z"-Re'a or en- Rea which have r = R1/n and θ = ì + . The nth roots of w are w1/": z-R1/n ei(a/n + 2Ï k/n), where k = 0, 1, 2, . . ., n-1. The n nth roots of w are equispaced on the circle C of radius R1/n centered at the origin. Draw the circle C, and then find the three 3rd roots of i. The circle C has radius The angle difference (in radians) between adjacent 3th roots is Draw the circle C, and then find the four 4th roots of -16. The circle C has radius The angle difference (in radians) between adjacent 4th roots is Draw the circle C, and then find the two square roots (2nd roots!) of 1 The circle C has radius The angle difference (in radians) between adjacent square roots is symbolic formatting help
2. 12.4 points My Notes Ask Your Teacher Let w = R eai be any nonzero complex number. Then w has n nth roots: n solutions to the equation z"-Re'a or en- Rea which have r = R1/n and θ = ì + . The nth roots of w are w1/": z-R1/n ei(a/n + 2Ï k/n), where k = 0, 1, 2, . . ., n-1. The n nth roots of w are equispaced on the circle C of radius R1/n centered at the origin. Draw the circle C, and then find the three 3rd roots of i. The circle C has radius The angle difference (in radians) between adjacent 3th roots is Draw the circle C, and then find the four 4th roots of -16. The circle C has radius The angle difference (in radians) between adjacent 4th roots is Draw the circle C, and then find the two square roots (2nd roots!) of 1 The circle C has radius The angle difference (in radians) between adjacent square roots is symbolic formatting help
Bunny GreenfelderLv2
7 Sep 2019