Find all Integer Solutions
Published : 02-03-2023 - Duration : 00:19:55 - Like : 166 - Dislike : 0
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We find all integer solutions a, b, and c, to an equation involving complex numbers: (1 + (2 + sqrt{3})i)^a = b(1 + (2 - sqrt{3})i)^c 00:00 Modulus and denesting 02:35 Arguments 04:47 Comparing arguments 07:53 Simplifying the modulus 09:17 Comparing the modulus 12:13 Rational vs irrational 14:42 Case (i) conclusion 16:51 Case (ii) conclusion
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