Problem: Solve the equation and graph the solutions in an argand diagram. I'm leaning towards a solution where I use: But it keeps messing up. Help is heavily appriciated.
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Originally Posted by Greenb Problem: Solve the equation and graph the solutions in an argand diagram. I'm leaning towards a solution where I use: But it keeps messing up. Help is heavily appriciated. where n is an integer. Compare this with to get the value of and the values of necesary to write down the four distinct solutions for .
Ah you got from
Last edited by Greenb; Jan 31st 2009 at 03:29 AM. Reason: Ah got it
Originally Posted by Greenb I can follow you all the way except how you get the angle Draw an argand diagram showing 4 + 4i ...... It's in the first quadrant. And ....
Somehow I keep getting reversed solutions.. Mine are; Answer Key: Is the equation wrong? where n=0,1,2,3
Last edited by Greenb; Jan 31st 2009 at 04:58 AM. Reason: Missed a +
It must be the angle seeing as the answer is right only reversed, in my opinion. Maybe I'm substituting it wrong?
Originally Posted by Greenb Somehow I keep getting reversed solutions.. Mine are; Answer Key: Is the equation wrong? where n=0,1,2,3 It's not hard to see that solutions in the answer key are wrong. Simply raise them to the power of 4. I get 4 - 4i as the result ..... Your solutions are the correct fourth roots of 4 + 4i. By the way you have a typo in you 'equation', it should be
Darn! Your right, but seriously this has been bugging me all day.... Thanks for your persistence with me hehe
Last edited by mr fantastic; Jan 31st 2009 at 12:30 PM. Reason: m --> r
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