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Method of completing Squares in Complex Numbers
- 1. Method of completing squares in Complex Numbers The purpose of this slide is to show how do we complete squares in complex numbers. A very beautiful solution for finding square root of (a+ib) is also demonstrated. It is assumed that you know definition of iota and complex numbers Prepared By Parag Arora copyrights © youmarks.com
- 5. Finding Also note that a = copyrights © youmarks.com
- 6. Finding So we see that complex number a + ib is nothing but copyrights © youmarks.com
- 7. Finding So we see a + bi is is denoted by |z| if z = a + ib copyrights © youmarks.com
- 8. Finding So we see that is nothing but Repeat the same problem when b < 0. copyrights © youmarks.com